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Finding the Fourth Proportional to 417,188.86, 625,412.10 and 150,890.14

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Solution

The fourth proportional to 417,188.86, 625,412.10 and 150,890.14 is: 226,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,188.86 : 625,412.10 = 150,890.14 : x
  2. Step 2: Convert to fraction form
    417,188.86/625,412.10 = 150,890.14/x
  3. Step 3: Cross multiply
    417,188.86x = 625,412.10 × 150,890.14
  4. Step 4: Simplify right side
    417,188.86x = 94,368,519,326.69
  5. Step 5: Solve for x
    x = 94,368,519,326.69/417,188.86
  6. Step 6: Final answer
    x = 226,200.96

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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.