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Finding the Fourth Proportional to 543,648.70, 815,473.05 and 431,674.30

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Solution

The fourth proportional to 543,648.70, 815,473.05 and 431,674.30 is: 647,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,648.70 : 815,473.05 = 431,674.30 : x
  2. Step 2: Convert to fraction form
    543,648.70/815,473.05 = 431,674.30/x
  3. Step 3: Cross multiply
    543,648.70x = 815,473.05 × 431,674.30
  4. Step 4: Simplify right side
    543,648.70x = 352,018,758,027.62
  5. Step 5: Solve for x
    x = 352,018,758,027.62/543,648.70
  6. Step 6: Final answer
    x = 647,511.45

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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.