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Finding the Fourth Proportional to 331,570.92, 497,453.40 and 106,926.84

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Solution

The fourth proportional to 331,570.92, 497,453.40 and 106,926.84 is: 160,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,570.92 : 497,453.40 = 106,926.84 : x
  2. Step 2: Convert to fraction form
    331,570.92/497,453.40 = 106,926.84/x
  3. Step 3: Cross multiply
    331,570.92x = 497,453.40 × 106,926.84
  4. Step 4: Simplify right side
    331,570.92x = 53,191,120,109.26
  5. Step 5: Solve for x
    x = 53,191,120,109.26/331,570.92
  6. Step 6: Final answer
    x = 160,421.55

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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.