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Finding the Fourth Proportional to 417,782.52, 626,613.66 and 133,505.46

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Solution

The fourth proportional to 417,782.52, 626,613.66 and 133,505.46 is: 200,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,782.52 : 626,613.66 = 133,505.46 : x
  2. Step 2: Convert to fraction form
    417,782.52/626,613.66 = 133,505.46/x
  3. Step 3: Cross multiply
    417,782.52x = 626,613.66 × 133,505.46
  4. Step 4: Simplify right side
    417,782.52x = 83,656,344,920.58
  5. Step 5: Solve for x
    x = 83,656,344,920.58/417,782.52
  6. Step 6: Final answer
    x = 200,238.98

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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.