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Finding the Fourth Proportional to 417,045.96, 625,643.06 and 151,177.86

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Solution

The fourth proportional to 417,045.96, 625,643.06 and 151,177.86 is: 226,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,045.96 : 625,643.06 = 151,177.86 : x
  2. Step 2: Convert to fraction form
    417,045.96/625,643.06 = 151,177.86/x
  3. Step 3: Cross multiply
    417,045.96x = 625,643.06 × 151,177.86
  4. Step 4: Simplify right side
    417,045.96x = 94,583,378,178.76
  5. Step 5: Solve for x
    x = 94,583,378,178.76/417,045.96
  6. Step 6: Final answer
    x = 226,793.66

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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.