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Finding the Fourth Proportional to 492,854.60, 739,281.90 and 177,321.80

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Solution

The fourth proportional to 492,854.60, 739,281.90 and 177,321.80 is: 265,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,854.60 : 739,281.90 = 177,321.80 : x
  2. Step 2: Convert to fraction form
    492,854.60/739,281.90 = 177,321.80/x
  3. Step 3: Cross multiply
    492,854.60x = 739,281.90 × 177,321.80
  4. Step 4: Simplify right side
    492,854.60x = 131,090,797,215.42
  5. Step 5: Solve for x
    x = 131,090,797,215.42/492,854.60
  6. Step 6: Final answer
    x = 265,982.70

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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.