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Finding the Fourth Proportional to 276,729.90, 415,094.85 and 177,002.70

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Solution

The fourth proportional to 276,729.90, 415,094.85 and 177,002.70 is: 265,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,729.90 : 415,094.85 = 177,002.70 : x
  2. Step 2: Convert to fraction form
    276,729.90/415,094.85 = 177,002.70/x
  3. Step 3: Cross multiply
    276,729.90x = 415,094.85 × 177,002.70
  4. Step 4: Simplify right side
    276,729.90x = 73,472,909,206.10
  5. Step 5: Solve for x
    x = 73,472,909,206.10/276,729.90
  6. Step 6: Final answer
    x = 265,504.05

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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.