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Finding the Fourth Proportional to 415,051.98, 572,855.13 and 271,759.74

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Solution

The fourth proportional to 415,051.98, 572,855.13 and 271,759.74 is: 375,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,051.98 : 572,855.13 = 271,759.74 : x
  2. Step 2: Convert to fraction form
    415,051.98/572,855.13 = 271,759.74/x
  3. Step 3: Cross multiply
    415,051.98x = 572,855.13 × 271,759.74
  4. Step 4: Simplify right side
    415,051.98x = 155,678,961,186.47
  5. Step 5: Solve for x
    x = 155,678,961,186.47/415,051.98
  6. Step 6: Final answer
    x = 375,083.05

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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.