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Finding the Fourth Proportional to 376,590.40, 564,496.80 and 271,044.16

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Solution

The fourth proportional to 376,590.40, 564,496.80 and 271,044.16 is: 406,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,590.40 : 564,496.80 = 271,044.16 : x
  2. Step 2: Convert to fraction form
    376,590.40/564,496.80 = 271,044.16/x
  3. Step 3: Cross multiply
    376,590.40x = 564,496.80 × 271,044.16
  4. Step 4: Simplify right side
    376,590.40x = 153,003,560,978.69
  5. Step 5: Solve for x
    x = 153,003,560,978.69/376,590.40
  6. Step 6: Final answer
    x = 406,286.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.