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Finding the Fourth Proportional to 402,529.50, 555,478.97 and 221,241.38

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Solution

The fourth proportional to 402,529.50, 555,478.97 and 221,241.38 is: 305,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,529.50 : 555,478.97 = 221,241.38 : x
  2. Step 2: Convert to fraction form
    402,529.50/555,478.97 = 221,241.38/x
  3. Step 3: Cross multiply
    402,529.50x = 555,478.97 × 221,241.38
  4. Step 4: Simplify right side
    402,529.50x = 122,894,930,000.18
  5. Step 5: Solve for x
    x = 122,894,930,000.18/402,529.50
  6. Step 6: Final answer
    x = 305,306.64

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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.