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Finding the Fourth Proportional to 394,125.04, 543,893.04 and 224,359

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Solution

The fourth proportional to 394,125.04, 543,893.04 and 224,359 is: 309,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,125.04 : 543,893.04 = 224,359 : x
  2. Step 2: Convert to fraction form
    394,125.04/543,893.04 = 224,359/x
  3. Step 3: Cross multiply
    394,125.04x = 543,893.04 × 224,359
  4. Step 4: Simplify right side
    394,125.04x = 122,027,298,561.36
  5. Step 5: Solve for x
    x = 122,027,298,561.36/394,125.04
  6. Step 6: Final answer
    x = 309,615.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.