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Finding the Fourth Proportional to 475,773.12, 656,506.41 and 271,837.25

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Solution

The fourth proportional to 475,773.12, 656,506.41 and 271,837.25 is: 375,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,773.12 : 656,506.41 = 271,837.25 : x
  2. Step 2: Convert to fraction form
    475,773.12/656,506.41 = 271,837.25/x
  3. Step 3: Cross multiply
    475,773.12x = 656,506.41 × 271,837.25
  4. Step 4: Simplify right side
    475,773.12x = 178,462,897,101.77
  5. Step 5: Solve for x
    x = 178,462,897,101.77/475,773.12
  6. Step 6: Final answer
    x = 375,100.84

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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.