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Finding the Fourth Proportional to 356,835.42, 492,433.56 and 195,691.68

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Solution

The fourth proportional to 356,835.42, 492,433.56 and 195,691.68 is: 270,054.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,835.42 : 492,433.56 = 195,691.68 : x
  2. Step 2: Convert to fraction form
    356,835.42/492,433.56 = 195,691.68/x
  3. Step 3: Cross multiply
    356,835.42x = 492,433.56 × 195,691.68
  4. Step 4: Simplify right side
    356,835.42x = 96,365,150,644.78
  5. Step 5: Solve for x
    x = 96,365,150,644.78/356,835.42
  6. Step 6: Final answer
    x = 270,054.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.