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Finding the Fourth Proportional to 377,287.20, 565,930.80 and 177,541.20

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Solution

The fourth proportional to 377,287.20, 565,930.80 and 177,541.20 is: 266,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,287.20 : 565,930.80 = 177,541.20 : x
  2. Step 2: Convert to fraction form
    377,287.20/565,930.80 = 177,541.20/x
  3. Step 3: Cross multiply
    377,287.20x = 565,930.80 × 177,541.20
  4. Step 4: Simplify right side
    377,287.20x = 100,476,033,348.96
  5. Step 5: Solve for x
    x = 100,476,033,348.96/377,287.20
  6. Step 6: Final answer
    x = 266,311.80

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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.