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Finding the Fourth Proportional to 497,491.89, 746,004.51 and 181,727.97

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Solution

The fourth proportional to 497,491.89, 746,004.51 and 181,727.97 is: 272,506.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,491.89 : 746,004.51 = 181,727.97 : x
  2. Step 2: Convert to fraction form
    497,491.89/746,004.51 = 181,727.97/x
  3. Step 3: Cross multiply
    497,491.89x = 746,004.51 × 181,727.97
  4. Step 4: Simplify right side
    497,491.89x = 135,569,885,213.15
  5. Step 5: Solve for x
    x = 135,569,885,213.15/497,491.89
  6. Step 6: Final answer
    x = 272,506.72

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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.