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Finding the Fourth Proportional to 327,543.98, 491,310.47 and 147,529.28

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Solution

The fourth proportional to 327,543.98, 491,310.47 and 147,529.28 is: 221,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,543.98 : 491,310.47 = 147,529.28 : x
  2. Step 2: Convert to fraction form
    327,543.98/491,310.47 = 147,529.28/x
  3. Step 3: Cross multiply
    327,543.98x = 491,310.47 × 147,529.28
  4. Step 4: Simplify right side
    327,543.98x = 72,482,676,701.36
  5. Step 5: Solve for x
    x = 72,482,676,701.36/327,543.98
  6. Step 6: Final answer
    x = 221,291.44

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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.