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Finding the Fourth Proportional to 534,496.32, 801,745.29 and 219,174.66

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Solution

The fourth proportional to 534,496.32, 801,745.29 and 219,174.66 is: 328,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,496.32 : 801,745.29 = 219,174.66 : x
  2. Step 2: Convert to fraction form
    534,496.32/801,745.29 = 219,174.66/x
  3. Step 3: Cross multiply
    534,496.32x = 801,745.29 × 219,174.66
  4. Step 4: Simplify right side
    534,496.32x = 175,722,251,342.35
  5. Step 5: Solve for x
    x = 175,722,251,342.35/534,496.32
  6. Step 6: Final answer
    x = 328,762.32

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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.