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Finding the Fourth Proportional to 477,181.52, 715,753.58 and 161,638.42

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Solution

The fourth proportional to 477,181.52, 715,753.58 and 161,638.42 is: 242,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,181.52 : 715,753.58 = 161,638.42 : x
  2. Step 2: Convert to fraction form
    477,181.52/715,753.58 = 161,638.42/x
  3. Step 3: Cross multiply
    477,181.52x = 715,753.58 × 161,638.42
  4. Step 4: Simplify right side
    477,181.52x = 115,693,277,780.54
  5. Step 5: Solve for x
    x = 115,693,277,780.54/477,181.52
  6. Step 6: Final answer
    x = 242,451.30

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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.