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Finding the Fourth Proportional to 331,694, 497,618.76 and 110,078

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Solution

The fourth proportional to 331,694, 497,618.76 and 110,078 is: 165,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,694 : 497,618.76 = 110,078 : x
  2. Step 2: Convert to fraction form
    331,694/497,618.76 = 110,078/x
  3. Step 3: Cross multiply
    331,694x = 497,618.76 × 110,078
  4. Step 4: Simplify right side
    331,694x = 54,776,877,863.28
  5. Step 5: Solve for x
    x = 54,776,877,863.28/331,694
  6. Step 6: Final answer
    x = 165,142.81

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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.