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Finding the Fourth Proportional to 477,211.44, 658,332.35 and 422,818.70

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Solution

The fourth proportional to 477,211.44, 658,332.35 and 422,818.70 is: 583,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,211.44 : 658,332.35 = 422,818.70 : x
  2. Step 2: Convert to fraction form
    477,211.44/658,332.35 = 422,818.70/x
  3. Step 3: Cross multiply
    477,211.44x = 658,332.35 × 422,818.70
  4. Step 4: Simplify right side
    477,211.44x = 278,355,227,926.68
  5. Step 5: Solve for x
    x = 278,355,227,926.68/477,211.44
  6. Step 6: Final answer
    x = 583,295.38

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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.