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Finding the Fourth Proportional to 502,537.10, 753,793.80 and 123,457.22

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Solution

The fourth proportional to 502,537.10, 753,793.80 and 123,457.22 is: 185,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,537.10 : 753,793.80 = 123,457.22 : x
  2. Step 2: Convert to fraction form
    502,537.10/753,793.80 = 123,457.22/x
  3. Step 3: Cross multiply
    502,537.10x = 753,793.80 × 123,457.22
  4. Step 4: Simplify right side
    502,537.10x = 93,061,287,001.24
  5. Step 5: Solve for x
    x = 93,061,287,001.24/502,537.10
  6. Step 6: Final answer
    x = 185,182.92

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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.