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Finding the Fourth Proportional to 491,947.80, 738,051.30 and 176,371.80

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Solution

The fourth proportional to 491,947.80, 738,051.30 and 176,371.80 is: 264,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,947.80 : 738,051.30 = 176,371.80 : x
  2. Step 2: Convert to fraction form
    491,947.80/738,051.30 = 176,371.80/x
  3. Step 3: Cross multiply
    491,947.80x = 738,051.30 × 176,371.80
  4. Step 4: Simplify right side
    491,947.80x = 130,171,436,273.34
  5. Step 5: Solve for x
    x = 130,171,436,273.34/491,947.80
  6. Step 6: Final answer
    x = 264,604.16

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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.