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Finding the Fourth Proportional to 491,924.80, 738,016.80 and 176,348.80

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Solution

The fourth proportional to 491,924.80, 738,016.80 and 176,348.80 is: 264,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,924.80 : 738,016.80 = 176,348.80 : x
  2. Step 2: Convert to fraction form
    491,924.80/738,016.80 = 176,348.80/x
  3. Step 3: Cross multiply
    491,924.80x = 738,016.80 × 176,348.80
  4. Step 4: Simplify right side
    491,924.80x = 130,148,377,059.84
  5. Step 5: Solve for x
    x = 130,148,377,059.84/491,924.80
  6. Step 6: Final answer
    x = 264,569.66

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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.