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Finding the Fourth Proportional to 410,350.50, 566,331.78 and 341,318.16

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Solution

The fourth proportional to 410,350.50, 566,331.78 and 341,318.16 is: 471,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,350.50 : 566,331.78 = 341,318.16 : x
  2. Step 2: Convert to fraction form
    410,350.50/566,331.78 = 341,318.16/x
  3. Step 3: Cross multiply
    410,350.50x = 566,331.78 × 341,318.16
  4. Step 4: Simplify right side
    410,350.50x = 193,299,321,099.13
  5. Step 5: Solve for x
    x = 193,299,321,099.13/410,350.50
  6. Step 6: Final answer
    x = 471,059.06

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Why These Related Problems?

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