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Finding the Fourth Proportional to 441,987.75, 662,998.05 and 142,472.66

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Solution

The fourth proportional to 441,987.75, 662,998.05 and 142,472.66 is: 213,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,987.75 : 662,998.05 = 142,472.66 : x
  2. Step 2: Convert to fraction form
    441,987.75/662,998.05 = 142,472.66/x
  3. Step 3: Cross multiply
    441,987.75x = 662,998.05 × 142,472.66
  4. Step 4: Simplify right side
    441,987.75x = 94,459,092,443.32
  5. Step 5: Solve for x
    x = 94,459,092,443.32/441,987.75
  6. Step 6: Final answer
    x = 213,714.28

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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.