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Finding the Fourth Proportional to 284,358.38, 426,493.83 and 94,822.04

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Solution

The fourth proportional to 284,358.38, 426,493.83 and 94,822.04 is: 142,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,358.38 : 426,493.83 = 94,822.04 : x
  2. Step 2: Convert to fraction form
    284,358.38/426,493.83 = 94,822.04/x
  3. Step 3: Cross multiply
    284,358.38x = 426,493.83 × 94,822.04
  4. Step 4: Simplify right side
    284,358.38x = 40,441,015,008.01
  5. Step 5: Solve for x
    x = 40,441,015,008.01/284,358.38
  6. Step 6: Final answer
    x = 142,218.47

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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.