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Finding the Fourth Proportional to 497,144.88, 745,827.12 and 181,601.28

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Solution

The fourth proportional to 497,144.88, 745,827.12 and 181,601.28 is: 272,442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,144.88 : 745,827.12 = 181,601.28 : x
  2. Step 2: Convert to fraction form
    497,144.88/745,827.12 = 181,601.28/x
  3. Step 3: Cross multiply
    497,144.88x = 745,827.12 × 181,601.28
  4. Step 4: Simplify right side
    497,144.88x = 135,443,159,650.71
  5. Step 5: Solve for x
    x = 135,443,159,650.71/497,144.88
  6. Step 6: Final answer
    x = 272,442.03

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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.