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Finding the Fourth Proportional to 492,077.80, 738,116.70 and 176,493.70

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Solution

The fourth proportional to 492,077.80, 738,116.70 and 176,493.70 is: 264,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,077.80 : 738,116.70 = 176,493.70 : x
  2. Step 2: Convert to fraction form
    492,077.80/738,116.70 = 176,493.70/x
  3. Step 3: Cross multiply
    492,077.80x = 738,116.70 × 176,493.70
  4. Step 4: Simplify right side
    492,077.80x = 130,272,947,414.79
  5. Step 5: Solve for x
    x = 130,272,947,414.79/492,077.80
  6. Step 6: Final answer
    x = 264,740.55

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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.