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Finding the Fourth Proportional to 431,445.69, 647,187.98 and 165,137.13

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Solution

The fourth proportional to 431,445.69, 647,187.98 and 165,137.13 is: 247,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,445.69 : 647,187.98 = 165,137.13 : x
  2. Step 2: Convert to fraction form
    431,445.69/647,187.98 = 165,137.13/x
  3. Step 3: Cross multiply
    431,445.69x = 647,187.98 × 165,137.13
  4. Step 4: Simplify right side
    431,445.69x = 106,874,764,762.01
  5. Step 5: Solve for x
    x = 106,874,764,762.01/431,445.69
  6. Step 6: Final answer
    x = 247,713.14

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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.