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Finding the Fourth Proportional to 417,584.70, 626,169.42 and 133,237.98

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Solution

The fourth proportional to 417,584.70, 626,169.42 and 133,237.98 is: 199,790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,584.70 : 626,169.42 = 133,237.98 : x
  2. Step 2: Convert to fraction form
    417,584.70/626,169.42 = 133,237.98/x
  3. Step 3: Cross multiply
    417,584.70x = 626,169.42 × 133,237.98
  4. Step 4: Simplify right side
    417,584.70x = 83,429,548,658.57
  5. Step 5: Solve for x
    x = 83,429,548,658.57/417,584.70
  6. Step 6: Final answer
    x = 199,790.72

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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.