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Finding the Fourth Proportional to 502,329.09, 753,532.53 and 142,493.88

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Solution

The fourth proportional to 502,329.09, 753,532.53 and 142,493.88 is: 213,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,329.09 : 753,532.53 = 142,493.88 : x
  2. Step 2: Convert to fraction form
    502,329.09/753,532.53 = 142,493.88/x
  3. Step 3: Cross multiply
    502,329.09x = 753,532.53 × 142,493.88
  4. Step 4: Simplify right side
    502,329.09x = 107,373,773,905.92
  5. Step 5: Solve for x
    x = 107,373,773,905.92/502,329.09
  6. Step 6: Final answer
    x = 213,751.85

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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.