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Finding the Fourth Proportional to 514,836.25, 772,246.10 and 159,850.61

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Solution

The fourth proportional to 514,836.25, 772,246.10 and 159,850.61 is: 239,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,836.25 : 772,246.10 = 159,850.61 : x
  2. Step 2: Convert to fraction form
    514,836.25/772,246.10 = 159,850.61/x
  3. Step 3: Cross multiply
    514,836.25x = 772,246.10 × 159,850.61
  4. Step 4: Simplify right side
    514,836.25x = 123,444,009,355.87
  5. Step 5: Solve for x
    x = 123,444,009,355.87/514,836.25
  6. Step 6: Final answer
    x = 239,773.35

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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.