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Finding the Fourth Proportional to 382,859.82, 574,371.78 and 116,641.78

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Solution

The fourth proportional to 382,859.82, 574,371.78 and 116,641.78 is: 174,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,859.82 : 574,371.78 = 116,641.78 : x
  2. Step 2: Convert to fraction form
    382,859.82/574,371.78 = 116,641.78/x
  3. Step 3: Cross multiply
    382,859.82x = 574,371.78 × 116,641.78
  4. Step 4: Simplify right side
    382,859.82x = 66,995,746,800.97
  5. Step 5: Solve for x
    x = 66,995,746,800.97/382,859.82
  6. Step 6: Final answer
    x = 174,987.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.