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Finding the Fourth Proportional to 395,283.90, 592,915.10 and 110,976.82

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Solution

The fourth proportional to 395,283.90, 592,915.10 and 110,976.82 is: 166,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,283.90 : 592,915.10 = 110,976.82 : x
  2. Step 2: Convert to fraction form
    395,283.90/592,915.10 = 110,976.82/x
  3. Step 3: Cross multiply
    395,283.90x = 592,915.10 × 110,976.82
  4. Step 4: Simplify right side
    395,283.90x = 65,799,832,327.98
  5. Step 5: Solve for x
    x = 65,799,832,327.98/395,283.90
  6. Step 6: Final answer
    x = 166,462.21

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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.