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Finding the Fourth Proportional to 328,016.16, 492,179.76 and 195,158.88

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Solution

The fourth proportional to 328,016.16, 492,179.76 and 195,158.88 is: 292,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,016.16 : 492,179.76 = 195,158.88 : x
  2. Step 2: Convert to fraction form
    328,016.16/492,179.76 = 195,158.88/x
  3. Step 3: Cross multiply
    328,016.16x = 492,179.76 × 195,158.88
  4. Step 4: Simplify right side
    328,016.16x = 96,053,250,720.27
  5. Step 5: Solve for x
    x = 96,053,250,720.27/328,016.16
  6. Step 6: Final answer
    x = 292,830.85

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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.