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Finding the Fourth Proportional to 457,911.75, 686,900.42 and 120,949.04

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Solution

The fourth proportional to 457,911.75, 686,900.42 and 120,949.04 is: 181,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,911.75 : 686,900.42 = 120,949.04 : x
  2. Step 2: Convert to fraction form
    457,911.75/686,900.42 = 120,949.04/x
  3. Step 3: Cross multiply
    457,911.75x = 686,900.42 × 120,949.04
  4. Step 4: Simplify right side
    457,911.75x = 83,079,946,374.60
  5. Step 5: Solve for x
    x = 83,079,946,374.60/457,911.75
  6. Step 6: Final answer
    x = 181,432.22

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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.