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Finding the Fourth Proportional to 526,429.83, 726,562.50 and 297,052.14

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Solution

The fourth proportional to 526,429.83, 726,562.50 and 297,052.14 is: 409,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,429.83 : 726,562.50 = 297,052.14 : x
  2. Step 2: Convert to fraction form
    526,429.83/726,562.50 = 297,052.14/x
  3. Step 3: Cross multiply
    526,429.83x = 726,562.50 × 297,052.14
  4. Step 4: Simplify right side
    526,429.83x = 215,826,945,468.75
  5. Step 5: Solve for x
    x = 215,826,945,468.75/526,429.83
  6. Step 6: Final answer
    x = 409,982.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.