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Finding the Fourth Proportional to 457,531.54, 686,238.68 and 120,598.67

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Solution

The fourth proportional to 457,531.54, 686,238.68 and 120,598.67 is: 180,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,531.54 : 686,238.68 = 120,598.67 : x
  2. Step 2: Convert to fraction form
    457,531.54/686,238.68 = 120,598.67/x
  3. Step 3: Cross multiply
    457,531.54x = 686,238.68 × 120,598.67
  4. Step 4: Simplify right side
    457,531.54x = 82,759,474,127.65
  5. Step 5: Solve for x
    x = 82,759,474,127.65/457,531.54
  6. Step 6: Final answer
    x = 180,882.56

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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.