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Finding the Fourth Proportional to 417,228.62, 625,566.38 and 150,954.50

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Solution

The fourth proportional to 417,228.62, 625,566.38 and 150,954.50 is: 226,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,228.62 : 625,566.38 = 150,954.50 : x
  2. Step 2: Convert to fraction form
    417,228.62/625,566.38 = 150,954.50/x
  3. Step 3: Cross multiply
    417,228.62x = 625,566.38 × 150,954.50
  4. Step 4: Simplify right side
    417,228.62x = 94,432,060,109.71
  5. Step 5: Solve for x
    x = 94,432,060,109.71/417,228.62
  6. Step 6: Final answer
    x = 226,331.69

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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.