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Finding the Fourth Proportional to 415,805.76, 573,811.16 and 234,517.14

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Solution

The fourth proportional to 415,805.76, 573,811.16 and 234,517.14 is: 323,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,805.76 : 573,811.16 = 234,517.14 : x
  2. Step 2: Convert to fraction form
    415,805.76/573,811.16 = 234,517.14/x
  3. Step 3: Cross multiply
    415,805.76x = 573,811.16 × 234,517.14
  4. Step 4: Simplify right side
    415,805.76x = 134,568,552,143.28
  5. Step 5: Solve for x
    x = 134,568,552,143.28/415,805.76
  6. Step 6: Final answer
    x = 323,633.21

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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.