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Finding the Fourth Proportional to 468,436.88, 702,786.12 and 188,150.96

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Solution

The fourth proportional to 468,436.88, 702,786.12 and 188,150.96 is: 282,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,436.88 : 702,786.12 = 188,150.96 : x
  2. Step 2: Convert to fraction form
    468,436.88/702,786.12 = 188,150.96/x
  3. Step 3: Cross multiply
    468,436.88x = 702,786.12 × 188,150.96
  4. Step 4: Simplify right side
    468,436.88x = 132,229,883,152.68
  5. Step 5: Solve for x
    x = 132,229,883,152.68/468,436.88
  6. Step 6: Final answer
    x = 282,278.98

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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.