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Finding the Fourth Proportional to 284,752.96, 427,100.24 and 74,363.52

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Solution

The fourth proportional to 284,752.96, 427,100.24 and 74,363.52 is: 111,537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,752.96 : 427,100.24 = 74,363.52 : x
  2. Step 2: Convert to fraction form
    284,752.96/427,100.24 = 74,363.52/x
  3. Step 3: Cross multiply
    284,752.96x = 427,100.24 × 74,363.52
  4. Step 4: Simplify right side
    284,752.96x = 31,760,677,239.24
  5. Step 5: Solve for x
    x = 31,760,677,239.24/284,752.96
  6. Step 6: Final answer
    x = 111,537.65

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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.