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Finding the Fourth Proportional to 462,425.95, 693,629.20 and 213,107.95

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Solution

The fourth proportional to 462,425.95, 693,629.20 and 213,107.95 is: 319,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,425.95 : 693,629.20 = 213,107.95 : x
  2. Step 2: Convert to fraction form
    462,425.95/693,629.20 = 213,107.95/x
  3. Step 3: Cross multiply
    462,425.95x = 693,629.20 × 213,107.95
  4. Step 4: Simplify right side
    462,425.95x = 147,817,896,872.14
  5. Step 5: Solve for x
    x = 147,817,896,872.14/462,425.95
  6. Step 6: Final answer
    x = 319,657.44

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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.