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Finding the Fourth Proportional to 410,142.60, 615,213.90 and 292,044.60

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Solution

The fourth proportional to 410,142.60, 615,213.90 and 292,044.60 is: 438,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,142.60 : 615,213.90 = 292,044.60 : x
  2. Step 2: Convert to fraction form
    410,142.60/615,213.90 = 292,044.60/x
  3. Step 3: Cross multiply
    410,142.60x = 615,213.90 × 292,044.60
  4. Step 4: Simplify right side
    410,142.60x = 179,669,897,339.94
  5. Step 5: Solve for x
    x = 179,669,897,339.94/410,142.60
  6. Step 6: Final answer
    x = 438,066.90

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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.