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Finding the Fourth Proportional to 441,076.32, 661,315.08 and 224,402.54

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Solution

The fourth proportional to 441,076.32, 661,315.08 and 224,402.54 is: 336,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,076.32 : 661,315.08 = 224,402.54 : x
  2. Step 2: Convert to fraction form
    441,076.32/661,315.08 = 224,402.54/x
  3. Step 3: Cross multiply
    441,076.32x = 661,315.08 × 224,402.54
  4. Step 4: Simplify right side
    441,076.32x = 148,400,781,227.24
  5. Step 5: Solve for x
    x = 148,400,781,227.24/441,076.32
  6. Step 6: Final answer
    x = 336,451.48

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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.