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Finding the Fourth Proportional to 410,385.36, 615,794.73 and 291,212.40

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Solution

The fourth proportional to 410,385.36, 615,794.73 and 291,212.40 is: 436,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,385.36 : 615,794.73 = 291,212.40 : x
  2. Step 2: Convert to fraction form
    410,385.36/615,794.73 = 291,212.40/x
  3. Step 3: Cross multiply
    410,385.36x = 615,794.73 × 291,212.40
  4. Step 4: Simplify right side
    410,385.36x = 179,327,061,230.65
  5. Step 5: Solve for x
    x = 179,327,061,230.65/410,385.36
  6. Step 6: Final answer
    x = 436,972.36

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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.