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Finding the Fourth Proportional to 284,885.27, 427,170.14 and 116,523.82

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Solution

The fourth proportional to 284,885.27, 427,170.14 and 116,523.82 is: 174,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,885.27 : 427,170.14 = 116,523.82 : x
  2. Step 2: Convert to fraction form
    284,885.27/427,170.14 = 116,523.82/x
  3. Step 3: Cross multiply
    284,885.27x = 427,170.14 × 116,523.82
  4. Step 4: Simplify right side
    284,885.27x = 49,775,495,726.12
  5. Step 5: Solve for x
    x = 49,775,495,726.12/284,885.27
  6. Step 6: Final answer
    x = 174,721.20

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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.