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Finding the Fourth Proportional to 331,713.75, 497,570.67 and 110,097.75

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Solution

The fourth proportional to 331,713.75, 497,570.67 and 110,097.75 is: 165,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,713.75 : 497,570.67 = 110,097.75 : x
  2. Step 2: Convert to fraction form
    331,713.75/497,570.67 = 110,097.75/x
  3. Step 3: Cross multiply
    331,713.75x = 497,570.67 × 110,097.75
  4. Step 4: Simplify right side
    331,713.75x = 54,781,411,232.99
  5. Step 5: Solve for x
    x = 54,781,411,232.99/331,713.75
  6. Step 6: Final answer
    x = 165,146.64

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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.