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Finding the Fourth Proportional to 284,086.28, 426,319.50 and 117,874.28

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Solution

The fourth proportional to 284,086.28, 426,319.50 and 117,874.28 is: 176,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,086.28 : 426,319.50 = 117,874.28 : x
  2. Step 2: Convert to fraction form
    284,086.28/426,319.50 = 117,874.28/x
  3. Step 3: Cross multiply
    284,086.28x = 426,319.50 × 117,874.28
  4. Step 4: Simplify right side
    284,086.28x = 50,252,104,112.46
  5. Step 5: Solve for x
    x = 50,252,104,112.46/284,086.28
  6. Step 6: Final answer
    x = 176,890.29

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1.5x scale

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.