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Finding the Fourth Proportional to 417,564.62, 626,235.14 and 117,974.78

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Solution

The fourth proportional to 417,564.62, 626,235.14 and 117,974.78 is: 176,930.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,564.62 : 626,235.14 = 117,974.78 : x
  2. Step 2: Convert to fraction form
    417,564.62/626,235.14 = 117,974.78/x
  3. Step 3: Cross multiply
    417,564.62x = 626,235.14 × 117,974.78
  4. Step 4: Simplify right side
    417,564.62x = 73,879,952,869.77
  5. Step 5: Solve for x
    x = 73,879,952,869.77/417,564.62
  6. Step 6: Final answer
    x = 176,930.59

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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.