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Finding the Fourth Proportional to 284,348.30, 426,404.01 and 115,754.27

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Solution

The fourth proportional to 284,348.30, 426,404.01 and 115,754.27 is: 173,583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,348.30 : 426,404.01 = 115,754.27 : x
  2. Step 2: Convert to fraction form
    284,348.30/426,404.01 = 115,754.27/x
  3. Step 3: Cross multiply
    284,348.30x = 426,404.01 × 115,754.27
  4. Step 4: Simplify right side
    284,348.30x = 49,358,084,902.62
  5. Step 5: Solve for x
    x = 49,358,084,902.62/284,348.30
  6. Step 6: Final answer
    x = 173,583.19

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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.