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Finding the Fourth Proportional to 462,134.80, 693,202.20 and 162,953.20

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Solution

The fourth proportional to 462,134.80, 693,202.20 and 162,953.20 is: 244,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,134.80 : 693,202.20 = 162,953.20 : x
  2. Step 2: Convert to fraction form
    462,134.80/693,202.20 = 162,953.20/x
  3. Step 3: Cross multiply
    462,134.80x = 693,202.20 × 162,953.20
  4. Step 4: Simplify right side
    462,134.80x = 112,959,516,737.04
  5. Step 5: Solve for x
    x = 112,959,516,737.04/462,134.80
  6. Step 6: Final answer
    x = 244,429.80

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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.