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Finding the Fourth Proportional to 497,253.96, 745,992.36 and 181,702.80

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Solution

The fourth proportional to 497,253.96, 745,992.36 and 181,702.80 is: 272,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,253.96 : 745,992.36 = 181,702.80 : x
  2. Step 2: Convert to fraction form
    497,253.96/745,992.36 = 181,702.80/x
  3. Step 3: Cross multiply
    497,253.96x = 745,992.36 × 181,702.80
  4. Step 4: Simplify right side
    497,253.96x = 135,548,900,590.61
  5. Step 5: Solve for x
    x = 135,548,900,590.61/497,253.96
  6. Step 6: Final answer
    x = 272,594.91

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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.