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Finding the Fourth Proportional to 561,156.40, 842,512.20 and 442,961.20

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Solution

The fourth proportional to 561,156.40, 842,512.20 and 442,961.20 is: 665,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,156.40 : 842,512.20 = 442,961.20 : x
  2. Step 2: Convert to fraction form
    561,156.40/842,512.20 = 442,961.20/x
  3. Step 3: Cross multiply
    561,156.40x = 842,512.20 × 442,961.20
  4. Step 4: Simplify right side
    561,156.40x = 373,200,215,126.64
  5. Step 5: Solve for x
    x = 373,200,215,126.64/561,156.40
  6. Step 6: Final answer
    x = 665,055.62

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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.