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Finding the Fourth Proportional to 561,419.44, 842,132.81 and 224,488.41

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Solution

The fourth proportional to 561,419.44, 842,132.81 and 224,488.41 is: 336,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,419.44 : 842,132.81 = 224,488.41 : x
  2. Step 2: Convert to fraction form
    561,419.44/842,132.81 = 224,488.41/x
  3. Step 3: Cross multiply
    561,419.44x = 842,132.81 × 224,488.41
  4. Step 4: Simplify right side
    561,419.44x = 189,049,055,525.73
  5. Step 5: Solve for x
    x = 189,049,055,525.73/561,419.44
  6. Step 6: Final answer
    x = 336,734.07

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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.