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Finding the Fourth Proportional to 712,753.76, 1,069,481.90 and 333,700.14

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Solution

The fourth proportional to 712,753.76, 1,069,481.90 and 333,700.14 is: 500,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,753.76 : 1,069,481.90 = 333,700.14 : x
  2. Step 2: Convert to fraction form
    712,753.76/1,069,481.90 = 333,700.14/x
  3. Step 3: Cross multiply
    712,753.76x = 1,069,481.90 × 333,700.14
  4. Step 4: Simplify right side
    712,753.76x = 356,886,259,757.47
  5. Step 5: Solve for x
    x = 356,886,259,757.47/712,753.76
  6. Step 6: Final answer
    x = 500,714.66

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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.