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Finding the Fourth Proportional to 417,591.45, 626,624.12 and 225,463.30

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Solution

The fourth proportional to 417,591.45, 626,624.12 and 225,463.30 is: 338,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,591.45 : 626,624.12 = 225,463.30 : x
  2. Step 2: Convert to fraction form
    417,591.45/626,624.12 = 225,463.30/x
  3. Step 3: Cross multiply
    417,591.45x = 626,624.12 × 225,463.30
  4. Step 4: Simplify right side
    417,591.45x = 141,280,742,785.68
  5. Step 5: Solve for x
    x = 141,280,742,785.68/417,591.45
  6. Step 6: Final answer
    x = 338,322.88

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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.