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Finding the Fourth Proportional to 584,138.40, 876,207.60 and 397,514.40

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Solution

The fourth proportional to 584,138.40, 876,207.60 and 397,514.40 is: 596,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,138.40 : 876,207.60 = 397,514.40 : x
  2. Step 2: Convert to fraction form
    584,138.40/876,207.60 = 397,514.40/x
  3. Step 3: Cross multiply
    584,138.40x = 876,207.60 × 397,514.40
  4. Step 4: Simplify right side
    584,138.40x = 348,305,138,389.44
  5. Step 5: Solve for x
    x = 348,305,138,389.44/584,138.40
  6. Step 6: Final answer
    x = 596,271.60

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.