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Finding the Fourth Proportional to 417,882.53, 626,793.12 and 133,496.71

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Solution

The fourth proportional to 417,882.53, 626,793.12 and 133,496.71 is: 200,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,882.53 : 626,793.12 = 133,496.71 : x
  2. Step 2: Convert to fraction form
    417,882.53/626,793.12 = 133,496.71/x
  3. Step 3: Cross multiply
    417,882.53x = 626,793.12 × 133,496.71
  4. Step 4: Simplify right side
    417,882.53x = 83,674,817,803.65
  5. Step 5: Solve for x
    x = 83,674,817,803.65/417,882.53
  6. Step 6: Final answer
    x = 200,235.26

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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.