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Finding the Fourth Proportional to 497,260.71, 746,002.49 and 181,709.55

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Solution

The fourth proportional to 497,260.71, 746,002.49 and 181,709.55 is: 272,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,260.71 : 746,002.49 = 181,709.55 : x
  2. Step 2: Convert to fraction form
    497,260.71/746,002.49 = 181,709.55/x
  3. Step 3: Cross multiply
    497,260.71x = 746,002.49 × 181,709.55
  4. Step 4: Simplify right side
    497,260.71x = 135,555,775,848.23
  5. Step 5: Solve for x
    x = 135,555,775,848.23/497,260.71
  6. Step 6: Final answer
    x = 272,605.04

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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.