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Finding the Fourth Proportional to 296,773.27, 409,527.75 and 189,331.78

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Solution

The fourth proportional to 296,773.27, 409,527.75 and 189,331.78 is: 261,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,773.27 : 409,527.75 = 189,331.78 : x
  2. Step 2: Convert to fraction form
    296,773.27/409,527.75 = 189,331.78/x
  3. Step 3: Cross multiply
    296,773.27x = 409,527.75 × 189,331.78
  4. Step 4: Simplify right side
    296,773.27x = 77,536,617,866.90
  5. Step 5: Solve for x
    x = 77,536,617,866.90/296,773.27
  6. Step 6: Final answer
    x = 261,265.50

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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.