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Finding the Fourth Proportional to 284,085.28, 426,318 and 117,873.28

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Solution

The fourth proportional to 284,085.28, 426,318 and 117,873.28 is: 176,888.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,085.28 : 426,318 = 117,873.28 : x
  2. Step 2: Convert to fraction form
    284,085.28/426,318 = 117,873.28/x
  3. Step 3: Cross multiply
    284,085.28x = 426,318 × 117,873.28
  4. Step 4: Simplify right side
    284,085.28x = 50,251,500,983.04
  5. Step 5: Solve for x
    x = 50,251,500,983.04/284,085.28
  6. Step 6: Final answer
    x = 176,888.79

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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.