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Finding the Fourth Proportional to 334,646.47, 462,721.17 and 329,238.68

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Solution

The fourth proportional to 334,646.47, 462,721.17 and 329,238.68 is: 455,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,646.47 : 462,721.17 = 329,238.68 : x
  2. Step 2: Convert to fraction form
    334,646.47/462,721.17 = 329,238.68/x
  3. Step 3: Cross multiply
    334,646.47x = 462,721.17 × 329,238.68
  4. Step 4: Simplify right side
    334,646.47x = 152,345,706,139.90
  5. Step 5: Solve for x
    x = 152,345,706,139.90/334,646.47
  6. Step 6: Final answer
    x = 455,243.73

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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.