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Finding the Fourth Proportional to 393,726.30, 590,200.65 and 156,752.70

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Solution

The fourth proportional to 393,726.30, 590,200.65 and 156,752.70 is: 234,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,726.30 : 590,200.65 = 156,752.70 : x
  2. Step 2: Convert to fraction form
    393,726.30/590,200.65 = 156,752.70/x
  3. Step 3: Cross multiply
    393,726.30x = 590,200.65 × 156,752.70
  4. Step 4: Simplify right side
    393,726.30x = 92,515,545,429.26
  5. Step 5: Solve for x
    x = 92,515,545,429.26/393,726.30
  6. Step 6: Final answer
    x = 234,974.26

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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.