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Finding the Fourth Proportional to 316,778.16, 437,153.85 and 189,453.75

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Solution

The fourth proportional to 316,778.16, 437,153.85 and 189,453.75 is: 261,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,778.16 : 437,153.85 = 189,453.75 : x
  2. Step 2: Convert to fraction form
    316,778.16/437,153.85 = 189,453.75/x
  3. Step 3: Cross multiply
    316,778.16x = 437,153.85 × 189,453.75
  4. Step 4: Simplify right side
    316,778.16x = 82,820,436,209.44
  5. Step 5: Solve for x
    x = 82,820,436,209.44/316,778.16
  6. Step 6: Final answer
    x = 261,446.17

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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.