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Finding the Fourth Proportional to 491,883.40, 737,825.10 and 154,966.60

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Solution

The fourth proportional to 491,883.40, 737,825.10 and 154,966.60 is: 232,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,883.40 : 737,825.10 = 154,966.60 : x
  2. Step 2: Convert to fraction form
    491,883.40/737,825.10 = 154,966.60/x
  3. Step 3: Cross multiply
    491,883.40x = 737,825.10 × 154,966.60
  4. Step 4: Simplify right side
    491,883.40x = 114,338,247,141.66
  5. Step 5: Solve for x
    x = 114,338,247,141.66/491,883.40
  6. Step 6: Final answer
    x = 232,449.90

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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.