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Finding the Fourth Proportional to 334,651.52, 461,815.79 and 181,691.12

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Solution

The fourth proportional to 334,651.52, 461,815.79 and 181,691.12 is: 250,731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,651.52 : 461,815.79 = 181,691.12 : x
  2. Step 2: Convert to fraction form
    334,651.52/461,815.79 = 181,691.12/x
  3. Step 3: Cross multiply
    334,651.52x = 461,815.79 × 181,691.12
  4. Step 4: Simplify right side
    334,651.52x = 83,907,828,364.87
  5. Step 5: Solve for x
    x = 83,907,828,364.87/334,651.52
  6. Step 6: Final answer
    x = 250,731.95

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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.