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Finding the Fourth Proportional to 293,374, 440,061 and 106,385.68

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Solution

The fourth proportional to 293,374, 440,061 and 106,385.68 is: 159,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,374 : 440,061 = 106,385.68 : x
  2. Step 2: Convert to fraction form
    293,374/440,061 = 106,385.68/x
  3. Step 3: Cross multiply
    293,374x = 440,061 × 106,385.68
  4. Step 4: Simplify right side
    293,374x = 46,816,188,726.48
  5. Step 5: Solve for x
    x = 46,816,188,726.48/293,374
  6. Step 6: Final answer
    x = 159,578.52

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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.