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Finding the Fourth Proportional to 543,129.60, 814,367.12 and 243,556

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Solution

The fourth proportional to 543,129.60, 814,367.12 and 243,556 is: 365,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,129.60 : 814,367.12 = 243,556 : x
  2. Step 2: Convert to fraction form
    543,129.60/814,367.12 = 243,556/x
  3. Step 3: Cross multiply
    543,129.60x = 814,367.12 × 243,556
  4. Step 4: Simplify right side
    543,129.60x = 198,343,998,278.72
  5. Step 5: Solve for x
    x = 198,343,998,278.72/543,129.60
  6. Step 6: Final answer
    x = 365,187.24

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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.