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Finding the Fourth Proportional to 422,983.38, 583,856.65 and 378,143.05

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Solution

The fourth proportional to 422,983.38, 583,856.65 and 378,143.05 is: 521,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,983.38 : 583,856.65 = 378,143.05 : x
  2. Step 2: Convert to fraction form
    422,983.38/583,856.65 = 378,143.05/x
  3. Step 3: Cross multiply
    422,983.38x = 583,856.65 × 378,143.05
  4. Step 4: Simplify right side
    422,983.38x = 220,781,334,393.78
  5. Step 5: Solve for x
    x = 220,781,334,393.78/422,983.38
  6. Step 6: Final answer
    x = 521,962.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.