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Finding the Fourth Proportional to 422,735.01, 583,381.85 and 229,149.06

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Solution

The fourth proportional to 422,735.01, 583,381.85 and 229,149.06 is: 316,229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,735.01 : 583,381.85 = 229,149.06 : x
  2. Step 2: Convert to fraction form
    422,735.01/583,381.85 = 229,149.06/x
  3. Step 3: Cross multiply
    422,735.01x = 583,381.85 × 229,149.06
  4. Step 4: Simplify right side
    422,735.01x = 133,681,401,402.82
  5. Step 5: Solve for x
    x = 133,681,401,402.82/422,735.01
  6. Step 6: Final answer
    x = 316,229.79

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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.