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Finding the Fourth Proportional to 284,824.62, 427,322.57 and 85,151.50

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Solution

The fourth proportional to 284,824.62, 427,322.57 and 85,151.50 is: 127,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,824.62 : 427,322.57 = 85,151.50 : x
  2. Step 2: Convert to fraction form
    284,824.62/427,322.57 = 85,151.50/x
  3. Step 3: Cross multiply
    284,824.62x = 427,322.57 × 85,151.50
  4. Step 4: Simplify right side
    284,824.62x = 36,387,157,819.36
  5. Step 5: Solve for x
    x = 36,387,157,819.36/284,824.62
  6. Step 6: Final answer
    x = 127,752.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.