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Finding the Fourth Proportional to 437,979.20, 656,191.20 and 409,985.60

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Solution

The fourth proportional to 437,979.20, 656,191.20 and 409,985.60 is: 614,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,979.20 : 656,191.20 = 409,985.60 : x
  2. Step 2: Convert to fraction form
    437,979.20/656,191.20 = 409,985.60/x
  3. Step 3: Cross multiply
    437,979.20x = 656,191.20 × 409,985.60
  4. Step 4: Simplify right side
    437,979.20x = 269,028,942,846.72
  5. Step 5: Solve for x
    x = 269,028,942,846.72/437,979.20
  6. Step 6: Final answer
    x = 614,250.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.