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Finding the Fourth Proportional to 457,525.57, 686,292.99 and 120,614.56

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Solution

The fourth proportional to 457,525.57, 686,292.99 and 120,614.56 is: 180,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,525.57 : 686,292.99 = 120,614.56 : x
  2. Step 2: Convert to fraction form
    457,525.57/686,292.99 = 120,614.56/x
  3. Step 3: Cross multiply
    457,525.57x = 686,292.99 × 120,614.56
  4. Step 4: Simplify right side
    457,525.57x = 82,776,927,019.93
  5. Step 5: Solve for x
    x = 82,776,927,019.93/457,525.57
  6. Step 6: Final answer
    x = 180,923.06

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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.