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Finding the Fourth Proportional to 457,652.70, 686,491.20 and 142,117.20

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Solution

The fourth proportional to 457,652.70, 686,491.20 and 142,117.20 is: 213,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,652.70 : 686,491.20 = 142,117.20 : x
  2. Step 2: Convert to fraction form
    457,652.70/686,491.20 = 142,117.20/x
  3. Step 3: Cross multiply
    457,652.70x = 686,491.20 × 142,117.20
  4. Step 4: Simplify right side
    457,652.70x = 97,562,207,168.64
  5. Step 5: Solve for x
    x = 97,562,207,168.64/457,652.70
  6. Step 6: Final answer
    x = 213,179.57

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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.