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Finding the Fourth Proportional to 417,188.34, 625,781.30 and 150,947.82

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Solution

The fourth proportional to 417,188.34, 625,781.30 and 150,947.82 is: 226,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,188.34 : 625,781.30 = 150,947.82 : x
  2. Step 2: Convert to fraction form
    417,188.34/625,781.30 = 150,947.82/x
  3. Step 3: Cross multiply
    417,188.34x = 625,781.30 × 150,947.82
  4. Step 4: Simplify right side
    417,188.34x = 94,460,322,277.03
  5. Step 5: Solve for x
    x = 94,460,322,277.03/417,188.34
  6. Step 6: Final answer
    x = 226,421.29

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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.