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Finding the Fourth Proportional to 452,267.28, 678,470.16 and 148,566

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Solution

The fourth proportional to 452,267.28, 678,470.16 and 148,566 is: 222,871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,267.28 : 678,470.16 = 148,566 : x
  2. Step 2: Convert to fraction form
    452,267.28/678,470.16 = 148,566/x
  3. Step 3: Cross multiply
    452,267.28x = 678,470.16 × 148,566
  4. Step 4: Simplify right side
    452,267.28x = 100,797,597,790.56
  5. Step 5: Solve for x
    x = 100,797,597,790.56/452,267.28
  6. Step 6: Final answer
    x = 222,871.74

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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.