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Finding the Fourth Proportional to 481,331.84, 721,988.03 and 165,781.76

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Solution

The fourth proportional to 481,331.84, 721,988.03 and 165,781.76 is: 248,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,331.84 : 721,988.03 = 165,781.76 : x
  2. Step 2: Convert to fraction form
    481,331.84/721,988.03 = 165,781.76/x
  3. Step 3: Cross multiply
    481,331.84x = 721,988.03 × 165,781.76
  4. Step 4: Simplify right side
    481,331.84x = 119,692,443,116.85
  5. Step 5: Solve for x
    x = 119,692,443,116.85/481,331.84
  6. Step 6: Final answer
    x = 248,669.28

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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.