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Finding the Fourth Proportional to 332,402.46, 458,751.51 and 205,074.78

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Solution

The fourth proportional to 332,402.46, 458,751.51 and 205,074.78 is: 283,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,402.46 : 458,751.51 = 205,074.78 : x
  2. Step 2: Convert to fraction form
    332,402.46/458,751.51 = 205,074.78/x
  3. Step 3: Cross multiply
    332,402.46x = 458,751.51 × 205,074.78
  4. Step 4: Simplify right side
    332,402.46x = 94,078,364,987.92
  5. Step 5: Solve for x
    x = 94,078,364,987.92/332,402.46
  6. Step 6: Final answer
    x = 283,025.48

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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.