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Finding the Fourth Proportional to 313,882.17, 433,169.01 and 174,184.71

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Solution

The fourth proportional to 313,882.17, 433,169.01 and 174,184.71 is: 240,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,882.17 : 433,169.01 = 174,184.71 : x
  2. Step 2: Convert to fraction form
    313,882.17/433,169.01 = 174,184.71/x
  3. Step 3: Cross multiply
    313,882.17x = 433,169.01 × 174,184.71
  4. Step 4: Simplify right side
    313,882.17x = 75,451,418,387.84
  5. Step 5: Solve for x
    x = 75,451,418,387.84/313,882.17
  6. Step 6: Final answer
    x = 240,381.35

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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.