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Finding the Fourth Proportional to 417,264.31, 625,974.27 and 189,575.87

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Solution

The fourth proportional to 417,264.31, 625,974.27 and 189,575.87 is: 284,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,264.31 : 625,974.27 = 189,575.87 : x
  2. Step 2: Convert to fraction form
    417,264.31/625,974.27 = 189,575.87/x
  3. Step 3: Cross multiply
    417,264.31x = 625,974.27 × 189,575.87
  4. Step 4: Simplify right side
    417,264.31x = 118,669,616,832.87
  5. Step 5: Solve for x
    x = 118,669,616,832.87/417,264.31
  6. Step 6: Final answer
    x = 284,399.15

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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.