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Finding the Fourth Proportional to 464,588.28, 696,882.54 and 132,164.28

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Solution

The fourth proportional to 464,588.28, 696,882.54 and 132,164.28 is: 198,246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,588.28 : 696,882.54 = 132,164.28 : x
  2. Step 2: Convert to fraction form
    464,588.28/696,882.54 = 132,164.28/x
  3. Step 3: Cross multiply
    464,588.28x = 696,882.54 × 132,164.28
  4. Step 4: Simplify right side
    464,588.28x = 92,102,979,143.67
  5. Step 5: Solve for x
    x = 92,102,979,143.67/464,588.28
  6. Step 6: Final answer
    x = 198,246.45

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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.