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Finding the Fourth Proportional to 561,981.95, 842,751.03 and 224,959.78

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Solution

The fourth proportional to 561,981.95, 842,751.03 and 224,959.78 is: 337,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,981.95 : 842,751.03 = 224,959.78 : x
  2. Step 2: Convert to fraction form
    561,981.95/842,751.03 = 224,959.78/x
  3. Step 3: Cross multiply
    561,981.95x = 842,751.03 × 224,959.78
  4. Step 4: Simplify right side
    561,981.95x = 189,585,086,303.57
  5. Step 5: Solve for x
    x = 189,585,086,303.57/561,981.95
  6. Step 6: Final answer
    x = 337,350.85

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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.