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Finding the Fourth Proportional to 510,223.38, 765,342.42 and 177,799.38

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Solution

The fourth proportional to 510,223.38, 765,342.42 and 177,799.38 is: 266,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,223.38 : 765,342.42 = 177,799.38 : x
  2. Step 2: Convert to fraction form
    510,223.38/765,342.42 = 177,799.38/x
  3. Step 3: Cross multiply
    510,223.38x = 765,342.42 × 177,799.38
  4. Step 4: Simplify right side
    510,223.38x = 136,077,407,763.70
  5. Step 5: Solve for x
    x = 136,077,407,763.70/510,223.38
  6. Step 6: Final answer
    x = 266,701.63

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1.5x scale

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.