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Finding the Fourth Proportional to 472,297.80, 708,446.70 and 413,248.80

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Solution

The fourth proportional to 472,297.80, 708,446.70 and 413,248.80 is: 619,873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,297.80 : 708,446.70 = 413,248.80 : x
  2. Step 2: Convert to fraction form
    472,297.80/708,446.70 = 413,248.80/x
  3. Step 3: Cross multiply
    472,297.80x = 708,446.70 × 413,248.80
  4. Step 4: Simplify right side
    472,297.80x = 292,764,748,638.96
  5. Step 5: Solve for x
    x = 292,764,748,638.96/472,297.80
  6. Step 6: Final answer
    x = 619,873.20

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Similar ratio
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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.