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Finding the Fourth Proportional to 410,234.20, 615,351.30 and 291,261.40

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Solution

The fourth proportional to 410,234.20, 615,351.30 and 291,261.40 is: 436,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,234.20 : 615,351.30 = 291,261.40 : x
  2. Step 2: Convert to fraction form
    410,234.20/615,351.30 = 291,261.40/x
  3. Step 3: Cross multiply
    410,234.20x = 615,351.30 × 291,261.40
  4. Step 4: Simplify right side
    410,234.20x = 179,228,081,129.82
  5. Step 5: Solve for x
    x = 179,228,081,129.82/410,234.20
  6. Step 6: Final answer
    x = 436,892.10

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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.