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Finding the Fourth Proportional to 497,377.80, 746,140.77 and 177,504.84

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Solution

The fourth proportional to 497,377.80, 746,140.77 and 177,504.84 is: 266,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,377.80 : 746,140.77 = 177,504.84 : x
  2. Step 2: Convert to fraction form
    497,377.80/746,140.77 = 177,504.84/x
  3. Step 3: Cross multiply
    497,377.80x = 746,140.77 × 177,504.84
  4. Step 4: Simplify right side
    497,377.80x = 132,443,597,996.33
  5. Step 5: Solve for x
    x = 132,443,597,996.33/497,377.80
  6. Step 6: Final answer
    x = 266,283.69

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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.