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Finding the Fourth Proportional to 519,514.40, 779,271.60 and 414,538.40

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Solution

The fourth proportional to 519,514.40, 779,271.60 and 414,538.40 is: 621,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,514.40 : 779,271.60 = 414,538.40 : x
  2. Step 2: Convert to fraction form
    519,514.40/779,271.60 = 414,538.40/x
  3. Step 3: Cross multiply
    519,514.40x = 779,271.60 × 414,538.40
  4. Step 4: Simplify right side
    519,514.40x = 323,038,002,229.44
  5. Step 5: Solve for x
    x = 323,038,002,229.44/519,514.40
  6. Step 6: Final answer
    x = 621,807.60

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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.