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Finding the Fourth Proportional to 310,202.68, 465,535.62 and 230,424.86

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Solution

The fourth proportional to 310,202.68, 465,535.62 and 230,424.86 is: 345,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,202.68 : 465,535.62 = 230,424.86 : x
  2. Step 2: Convert to fraction form
    310,202.68/465,535.62 = 230,424.86/x
  3. Step 3: Cross multiply
    310,202.68x = 465,535.62 × 230,424.86
  4. Step 4: Simplify right side
    310,202.68x = 107,270,981,227.35
  5. Step 5: Solve for x
    x = 107,270,981,227.35/310,202.68
  6. Step 6: Final answer
    x = 345,809.33

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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.