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Finding the Fourth Proportional to 437,504.86, 656,271.42 and 137,988.28

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Solution

The fourth proportional to 437,504.86, 656,271.42 and 137,988.28 is: 206,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,504.86 : 656,271.42 = 137,988.28 : x
  2. Step 2: Convert to fraction form
    437,504.86/656,271.42 = 137,988.28/x
  3. Step 3: Cross multiply
    437,504.86x = 656,271.42 × 137,988.28
  4. Step 4: Simplify right side
    437,504.86x = 90,557,764,458.96
  5. Step 5: Solve for x
    x = 90,557,764,458.96/437,504.86
  6. Step 6: Final answer
    x = 206,986.88

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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.