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Finding the Fourth Proportional to 415,858.80, 573,872.28 and 234,568.12

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Solution

The fourth proportional to 415,858.80, 573,872.28 and 234,568.12 is: 323,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,858.80 : 573,872.28 = 234,568.12 : x
  2. Step 2: Convert to fraction form
    415,858.80/573,872.28 = 234,568.12/x
  3. Step 3: Cross multiply
    415,858.80x = 573,872.28 × 234,568.12
  4. Step 4: Simplify right side
    415,858.80x = 134,612,141,839.71
  5. Step 5: Solve for x
    x = 134,612,141,839.71/415,858.80
  6. Step 6: Final answer
    x = 323,696.75

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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.