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Finding the Fourth Proportional to 311,047.78, 429,246.57 and 176,911.78

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Solution

The fourth proportional to 311,047.78, 429,246.57 and 176,911.78 is: 244,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,047.78 : 429,246.57 = 176,911.78 : x
  2. Step 2: Convert to fraction form
    311,047.78/429,246.57 = 176,911.78/x
  3. Step 3: Cross multiply
    311,047.78x = 429,246.57 × 176,911.78
  4. Step 4: Simplify right side
    311,047.78x = 75,938,774,757.59
  5. Step 5: Solve for x
    x = 75,938,774,757.59/311,047.78
  6. Step 6: Final answer
    x = 244,138.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.