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Finding the Fourth Proportional to 502,751.12, 753,116.96 and 232,500.45

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Solution

The fourth proportional to 502,751.12, 753,116.96 and 232,500.45 is: 348,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,751.12 : 753,116.96 = 232,500.45 : x
  2. Step 2: Convert to fraction form
    502,751.12/753,116.96 = 232,500.45/x
  3. Step 3: Cross multiply
    502,751.12x = 753,116.96 × 232,500.45
  4. Step 4: Simplify right side
    502,751.12x = 175,100,031,836.90
  5. Step 5: Solve for x
    x = 175,100,031,836.90/502,751.12
  6. Step 6: Final answer
    x = 348,283.73

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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.