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Finding the Fourth Proportional to 457,624.44, 686,426.74 and 125,200.44

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Solution

The fourth proportional to 457,624.44, 686,426.74 and 125,200.44 is: 187,797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,624.44 : 686,426.74 = 125,200.44 : x
  2. Step 2: Convert to fraction form
    457,624.44/686,426.74 = 125,200.44/x
  3. Step 3: Cross multiply
    457,624.44x = 686,426.74 × 125,200.44
  4. Step 4: Simplify right side
    457,624.44x = 85,940,929,875.77
  5. Step 5: Solve for x
    x = 85,940,929,875.77/457,624.44
  6. Step 6: Final answer
    x = 187,797.95

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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.