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Finding the Fourth Proportional to 497,531.48, 746,293.50 and 142,545.80

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Solution

The fourth proportional to 497,531.48, 746,293.50 and 142,545.80 is: 213,817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,531.48 : 746,293.50 = 142,545.80 : x
  2. Step 2: Convert to fraction form
    497,531.48/746,293.50 = 142,545.80/x
  3. Step 3: Cross multiply
    497,531.48x = 746,293.50 × 142,545.80
  4. Step 4: Simplify right side
    497,531.48x = 106,381,003,992.30
  5. Step 5: Solve for x
    x = 106,381,003,992.30/497,531.48
  6. Step 6: Final answer
    x = 213,817.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.