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Finding the Fourth Proportional to 423,689.47, 584,691.95 and 230,097.31

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Solution

The fourth proportional to 423,689.47, 584,691.95 and 230,097.31 is: 317,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,689.47 : 584,691.95 = 230,097.31 : x
  2. Step 2: Convert to fraction form
    423,689.47/584,691.95 = 230,097.31/x
  3. Step 3: Cross multiply
    423,689.47x = 584,691.95 × 230,097.31
  4. Step 4: Simplify right side
    423,689.47x = 134,536,043,987.17
  5. Step 5: Solve for x
    x = 134,536,043,987.17/423,689.47
  6. Step 6: Final answer
    x = 317,534.55

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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.