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Finding the Fourth Proportional to 411,630.24, 567,505.20 and 296,812.80

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Solution

The fourth proportional to 411,630.24, 567,505.20 and 296,812.80 is: 409,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,630.24 : 567,505.20 = 296,812.80 : x
  2. Step 2: Convert to fraction form
    411,630.24/567,505.20 = 296,812.80/x
  3. Step 3: Cross multiply
    411,630.24x = 567,505.20 × 296,812.80
  4. Step 4: Simplify right side
    411,630.24x = 168,442,807,426.56
  5. Step 5: Solve for x
    x = 168,442,807,426.56/411,630.24
  6. Step 6: Final answer
    x = 409,209.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.