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Finding the Fourth Proportional to 423,862.38, 635,694.93 and 157,748.22

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Solution

The fourth proportional to 423,862.38, 635,694.93 and 157,748.22 is: 236,585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,862.38 : 635,694.93 = 157,748.22 : x
  2. Step 2: Convert to fraction form
    423,862.38/635,694.93 = 157,748.22/x
  3. Step 3: Cross multiply
    423,862.38x = 635,694.93 × 157,748.22
  4. Step 4: Simplify right side
    423,862.38x = 100,279,743,670.53
  5. Step 5: Solve for x
    x = 100,279,743,670.53/423,862.38
  6. Step 6: Final answer
    x = 236,585.62

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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.