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Finding the Fourth Proportional to 382,367.40, 573,215.75 and 145,552.56

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Solution

The fourth proportional to 382,367.40, 573,215.75 and 145,552.56 is: 218,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,367.40 : 573,215.75 = 145,552.56 : x
  2. Step 2: Convert to fraction form
    382,367.40/573,215.75 = 145,552.56/x
  3. Step 3: Cross multiply
    382,367.40x = 573,215.75 × 145,552.56
  4. Step 4: Simplify right side
    382,367.40x = 83,433,019,844.82
  5. Step 5: Solve for x
    x = 83,433,019,844.82/382,367.40
  6. Step 6: Final answer
    x = 218,201.19

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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.