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Finding the Fourth Proportional to 561,645.30, 842,471.55 and 224,714.10

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Solution

The fourth proportional to 561,645.30, 842,471.55 and 224,714.10 is: 337,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,645.30 : 842,471.55 = 224,714.10 : x
  2. Step 2: Convert to fraction form
    561,645.30/842,471.55 = 224,714.10/x
  3. Step 3: Cross multiply
    561,645.30x = 842,471.55 × 224,714.10
  4. Step 4: Simplify right side
    561,645.30x = 189,315,236,133.86
  5. Step 5: Solve for x
    x = 189,315,236,133.86/561,645.30
  6. Step 6: Final answer
    x = 337,072.59

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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.