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Finding the Fourth Proportional to 491,049.02, 736,604.68 and 154,102.98

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Solution

The fourth proportional to 491,049.02, 736,604.68 and 154,102.98 is: 231,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,049.02 : 736,604.68 = 154,102.98 : x
  2. Step 2: Convert to fraction form
    491,049.02/736,604.68 = 154,102.98/x
  3. Step 3: Cross multiply
    491,049.02x = 736,604.68 × 154,102.98
  4. Step 4: Simplify right side
    491,049.02x = 113,512,976,269.95
  5. Step 5: Solve for x
    x = 113,512,976,269.95/491,049.02
  6. Step 6: Final answer
    x = 231,164.25

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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.