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Finding the Fourth Proportional to 462,390, 693,585 and 112,182

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Solution

The fourth proportional to 462,390, 693,585 and 112,182 is: 168,273

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,390 : 693,585 = 112,182 : x
  2. Step 2: Convert to fraction form
    462,390/693,585 = 112,182/x
  3. Step 3: Cross multiply
    462,390x = 693,585 × 112,182
  4. Step 4: Simplify right side
    462,390x = 77,807,752,470
  5. Step 5: Solve for x
    x = 77,807,752,470/462,390
  6. Step 6: Final answer
    x = 168,273

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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.