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Finding the Fourth Proportional to 413,732.75, 570,958.76 and 229,988.57

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Solution

The fourth proportional to 413,732.75, 570,958.76 and 229,988.57 is: 317,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,732.75 : 570,958.76 = 229,988.57 : x
  2. Step 2: Convert to fraction form
    413,732.75/570,958.76 = 229,988.57/x
  3. Step 3: Cross multiply
    413,732.75x = 570,958.76 × 229,988.57
  4. Step 4: Simplify right side
    413,732.75x = 131,313,987,591.43
  5. Step 5: Solve for x
    x = 131,313,987,591.43/413,732.75
  6. Step 6: Final answer
    x = 317,388.43

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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.