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Finding the Fourth Proportional to 543,009.60, 814,187.16 and 243,436

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Solution

The fourth proportional to 543,009.60, 814,187.16 and 243,436 is: 365,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,009.60 : 814,187.16 = 243,436 : x
  2. Step 2: Convert to fraction form
    543,009.60/814,187.16 = 243,436/x
  3. Step 3: Cross multiply
    543,009.60x = 814,187.16 × 243,436
  4. Step 4: Simplify right side
    543,009.60x = 198,202,465,481.76
  5. Step 5: Solve for x
    x = 198,202,465,481.76/543,009.60
  6. Step 6: Final answer
    x = 365,007.30

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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.