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Finding the Fourth Proportional to 506,463.40, 759,695.10 and 206,747.20

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Solution

The fourth proportional to 506,463.40, 759,695.10 and 206,747.20 is: 310,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,463.40 : 759,695.10 = 206,747.20 : x
  2. Step 2: Convert to fraction form
    506,463.40/759,695.10 = 206,747.20/x
  3. Step 3: Cross multiply
    506,463.40x = 759,695.10 × 206,747.20
  4. Step 4: Simplify right side
    506,463.40x = 157,064,834,778.72
  5. Step 5: Solve for x
    x = 157,064,834,778.72/506,463.40
  6. Step 6: Final answer
    x = 310,120.80

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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.