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Finding the Fourth Proportional to 296,584.32, 409,170.24 and 189,125.76

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Solution

The fourth proportional to 296,584.32, 409,170.24 and 189,125.76 is: 260,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,584.32 : 409,170.24 = 189,125.76 : x
  2. Step 2: Convert to fraction form
    296,584.32/409,170.24 = 189,125.76/x
  3. Step 3: Cross multiply
    296,584.32x = 409,170.24 × 189,125.76
  4. Step 4: Simplify right side
    296,584.32x = 77,384,632,609.38
  5. Step 5: Solve for x
    x = 77,384,632,609.38/296,584.32
  6. Step 6: Final answer
    x = 260,919.50

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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.