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Finding the Fourth Proportional to 462,564.41, 693,821.84 and 146,996.78

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Solution

The fourth proportional to 462,564.41, 693,821.84 and 146,996.78 is: 220,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,564.41 : 693,821.84 = 146,996.78 : x
  2. Step 2: Convert to fraction form
    462,564.41/693,821.84 = 146,996.78/x
  3. Step 3: Cross multiply
    462,564.41x = 693,821.84 × 146,996.78
  4. Step 4: Simplify right side
    462,564.41x = 101,989,572,169.58
  5. Step 5: Solve for x
    x = 101,989,572,169.58/462,564.41
  6. Step 6: Final answer
    x = 220,487.29

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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.