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Finding the Fourth Proportional to 561,981.82, 842,750.84 and 224,959.66

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Solution

The fourth proportional to 561,981.82, 842,750.84 and 224,959.66 is: 337,350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,981.82 : 842,750.84 = 224,959.66 : x
  2. Step 2: Convert to fraction form
    561,981.82/842,750.84 = 224,959.66/x
  3. Step 3: Cross multiply
    561,981.82x = 842,750.84 × 224,959.66
  4. Step 4: Simplify right side
    561,981.82x = 189,584,942,431.11
  5. Step 5: Solve for x
    x = 189,584,942,431.11/561,981.82
  6. Step 6: Final answer
    x = 337,350.67

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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.