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Finding the Fourth Proportional to 329,097.80, 493,665.80 and 92,458.91

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Solution

The fourth proportional to 329,097.80, 493,665.80 and 92,458.91 is: 138,693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,097.80 : 493,665.80 = 92,458.91 : x
  2. Step 2: Convert to fraction form
    329,097.80/493,665.80 = 92,458.91/x
  3. Step 3: Cross multiply
    329,097.80x = 493,665.80 × 92,458.91
  4. Step 4: Simplify right side
    329,097.80x = 45,643,798,841.65
  5. Step 5: Solve for x
    x = 45,643,798,841.65/329,097.80
  6. Step 6: Final answer
    x = 138,693.72

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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.