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Finding the Fourth Proportional to 332,114.24, 458,327.76 and 188,894.90

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Solution

The fourth proportional to 332,114.24, 458,327.76 and 188,894.90 is: 260,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,114.24 : 458,327.76 = 188,894.90 : x
  2. Step 2: Convert to fraction form
    332,114.24/458,327.76 = 188,894.90/x
  3. Step 3: Cross multiply
    332,114.24x = 458,327.76 × 188,894.90
  4. Step 4: Simplify right side
    332,114.24x = 86,575,776,392.42
  5. Step 5: Solve for x
    x = 86,575,776,392.42/332,114.24
  6. Step 6: Final answer
    x = 260,680.71

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1.5x scale

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.