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Finding the Fourth Proportional to 506,202.72, 759,677.08 and 239,962.20

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Solution

The fourth proportional to 506,202.72, 759,677.08 and 239,962.20 is: 360,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,202.72 : 759,677.08 = 239,962.20 : x
  2. Step 2: Convert to fraction form
    506,202.72/759,677.08 = 239,962.20/x
  3. Step 3: Cross multiply
    506,202.72x = 759,677.08 × 239,962.20
  4. Step 4: Simplify right side
    506,202.72x = 182,293,780,407.61
  5. Step 5: Solve for x
    x = 182,293,780,407.61/506,202.72
  6. Step 6: Final answer
    x = 360,120.12

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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.