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Finding the Fourth Proportional to 462,155.40, 693,233.10 and 452,824.20

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Solution

The fourth proportional to 462,155.40, 693,233.10 and 452,824.20 is: 679,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,155.40 : 693,233.10 = 452,824.20 : x
  2. Step 2: Convert to fraction form
    462,155.40/693,233.10 = 452,824.20/x
  3. Step 3: Cross multiply
    462,155.40x = 693,233.10 × 452,824.20
  4. Step 4: Simplify right side
    462,155.40x = 313,912,723,921.02
  5. Step 5: Solve for x
    x = 313,912,723,921.02/462,155.40
  6. Step 6: Final answer
    x = 679,236.30

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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.