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Finding the Fourth Proportional to 319,097.24, 440,357.10 and 175,862.48

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Solution

The fourth proportional to 319,097.24, 440,357.10 and 175,862.48 is: 242,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,097.24 : 440,357.10 = 175,862.48 : x
  2. Step 2: Convert to fraction form
    319,097.24/440,357.10 = 175,862.48/x
  3. Step 3: Cross multiply
    319,097.24x = 440,357.10 × 175,862.48
  4. Step 4: Simplify right side
    319,097.24x = 77,442,291,691.61
  5. Step 5: Solve for x
    x = 77,442,291,691.61/319,097.24
  6. Step 6: Final answer
    x = 242,691.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.