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Finding the Fourth Proportional to 431,714.70, 647,572.05 and 407,220.30

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Solution

The fourth proportional to 431,714.70, 647,572.05 and 407,220.30 is: 610,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,714.70 : 647,572.05 = 407,220.30 : x
  2. Step 2: Convert to fraction form
    431,714.70/647,572.05 = 407,220.30/x
  3. Step 3: Cross multiply
    431,714.70x = 647,572.05 × 407,220.30
  4. Step 4: Simplify right side
    431,714.70x = 263,704,484,472.62
  5. Step 5: Solve for x
    x = 263,704,484,472.62/431,714.70
  6. Step 6: Final answer
    x = 610,830.45

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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.