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Finding the Fourth Proportional to 464,086.28, 696,196.17 and 176,003.97

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Solution

The fourth proportional to 464,086.28, 696,196.17 and 176,003.97 is: 264,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,086.28 : 696,196.17 = 176,003.97 : x
  2. Step 2: Convert to fraction form
    464,086.28/696,196.17 = 176,003.97/x
  3. Step 3: Cross multiply
    464,086.28x = 696,196.17 × 176,003.97
  4. Step 4: Simplify right side
    464,086.28x = 122,533,289,818.80
  5. Step 5: Solve for x
    x = 122,533,289,818.80/464,086.28
  6. Step 6: Final answer
    x = 264,031.27

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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.