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Finding the Fourth Proportional to 462,388, 693,582 and 112,180

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Solution

The fourth proportional to 462,388, 693,582 and 112,180 is: 168,270

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,388 : 693,582 = 112,180 : x
  2. Step 2: Convert to fraction form
    462,388/693,582 = 112,180/x
  3. Step 3: Cross multiply
    462,388x = 693,582 × 112,180
  4. Step 4: Simplify right side
    462,388x = 77,806,028,760
  5. Step 5: Solve for x
    x = 77,806,028,760/462,388
  6. Step 6: Final answer
    x = 168,270

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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.