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Finding the Fourth Proportional to 417,201.86, 625,431.60 and 150,903.14

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Solution

The fourth proportional to 417,201.86, 625,431.60 and 150,903.14 is: 226,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,201.86 : 625,431.60 = 150,903.14 : x
  2. Step 2: Convert to fraction form
    417,201.86/625,431.60 = 150,903.14/x
  3. Step 3: Cross multiply
    417,201.86x = 625,431.60 × 150,903.14
  4. Step 4: Simplify right side
    417,201.86x = 94,379,592,295.22
  5. Step 5: Solve for x
    x = 94,379,592,295.22/417,201.86
  6. Step 6: Final answer
    x = 226,220.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.