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Finding the Fourth Proportional to 415,199.68, 573,068.82 and 271,876.48

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Solution

The fourth proportional to 415,199.68, 573,068.82 and 271,876.48 is: 375,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,199.68 : 573,068.82 = 271,876.48 : x
  2. Step 2: Convert to fraction form
    415,199.68/573,068.82 = 271,876.48/x
  3. Step 3: Cross multiply
    415,199.68x = 573,068.82 × 271,876.48
  4. Step 4: Simplify right side
    415,199.68x = 155,803,933,579.35
  5. Step 5: Solve for x
    x = 155,803,933,579.35/415,199.68
  6. Step 6: Final answer
    x = 375,250.61

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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.