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Finding the Fourth Proportional to 443,400.66, 611,923.78 and 252,414

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Solution

The fourth proportional to 443,400.66, 611,923.78 and 252,414 is: 348,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,400.66 : 611,923.78 = 252,414 : x
  2. Step 2: Convert to fraction form
    443,400.66/611,923.78 = 252,414/x
  3. Step 3: Cross multiply
    443,400.66x = 611,923.78 × 252,414
  4. Step 4: Simplify right side
    443,400.66x = 154,458,129,004.92
  5. Step 5: Solve for x
    x = 154,458,129,004.92/443,400.66
  6. Step 6: Final answer
    x = 348,348.89

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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.