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Finding the Fourth Proportional to 462,454.95, 693,672.57 and 213,136.95

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Solution

The fourth proportional to 462,454.95, 693,672.57 and 213,136.95 is: 319,700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,454.95 : 693,672.57 = 213,136.95 : x
  2. Step 2: Convert to fraction form
    462,454.95/693,672.57 = 213,136.95/x
  3. Step 3: Cross multiply
    462,454.95x = 693,672.57 × 213,136.95
  4. Step 4: Simplify right side
    462,454.95x = 147,847,255,868.46
  5. Step 5: Solve for x
    x = 147,847,255,868.46/462,454.95
  6. Step 6: Final answer
    x = 319,700.88

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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.