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Finding the Fourth Proportional to 327,359.34, 490,841.37 and 127,641.42

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Solution

The fourth proportional to 327,359.34, 490,841.37 and 127,641.42 is: 191,385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,359.34 : 490,841.37 = 127,641.42 : x
  2. Step 2: Convert to fraction form
    327,359.34/490,841.37 = 127,641.42/x
  3. Step 3: Cross multiply
    327,359.34x = 490,841.37 × 127,641.42
  4. Step 4: Simplify right side
    327,359.34x = 62,651,689,461.55
  5. Step 5: Solve for x
    x = 62,651,689,461.55/327,359.34
  6. Step 6: Final answer
    x = 191,385.07

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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.