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Finding the Fourth Proportional to 431,841.59, 647,485.16 and 179,296.38

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Solution

The fourth proportional to 431,841.59, 647,485.16 and 179,296.38 is: 268,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,841.59 : 647,485.16 = 179,296.38 : x
  2. Step 2: Convert to fraction form
    431,841.59/647,485.16 = 179,296.38/x
  3. Step 3: Cross multiply
    431,841.59x = 647,485.16 × 179,296.38
  4. Step 4: Simplify right side
    431,841.59x = 116,091,744,395.24
  5. Step 5: Solve for x
    x = 116,091,744,395.24/431,841.59
  6. Step 6: Final answer
    x = 268,829.47

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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.