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Finding the Fourth Proportional to 561,673.80, 842,514.30 and 224,742.60

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Solution

The fourth proportional to 561,673.80, 842,514.30 and 224,742.60 is: 337,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,673.80 : 842,514.30 = 224,742.60 : x
  2. Step 2: Convert to fraction form
    561,673.80/842,514.30 = 224,742.60/x
  3. Step 3: Cross multiply
    561,673.80x = 842,514.30 × 224,742.60
  4. Step 4: Simplify right side
    561,673.80x = 189,348,854,319.18
  5. Step 5: Solve for x
    x = 189,348,854,319.18/561,673.80
  6. Step 6: Final answer
    x = 337,115.34

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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.