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Finding the Fourth Proportional to 331,785.65, 497,596.43 and 142,224.53

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Solution

The fourth proportional to 331,785.65, 497,596.43 and 142,224.53 is: 213,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,785.65 : 497,596.43 = 142,224.53 : x
  2. Step 2: Convert to fraction form
    331,785.65/497,596.43 = 142,224.53/x
  3. Step 3: Cross multiply
    331,785.65x = 497,596.43 × 142,224.53
  4. Step 4: Simplify right side
    331,785.65x = 70,770,416,254.01
  5. Step 5: Solve for x
    x = 70,770,416,254.01/331,785.65
  6. Step 6: Final answer
    x = 213,301.62

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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.