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Finding the Fourth Proportional to 332,226, 498,334.32 and 154,633.68

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Solution

The fourth proportional to 332,226, 498,334.32 and 154,633.68 is: 231,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,226 : 498,334.32 = 154,633.68 : x
  2. Step 2: Convert to fraction form
    332,226/498,334.32 = 154,633.68/x
  3. Step 3: Cross multiply
    332,226x = 498,334.32 × 154,633.68
  4. Step 4: Simplify right side
    332,226x = 77,059,269,771.90
  5. Step 5: Solve for x
    x = 77,059,269,771.90/332,226
  6. Step 6: Final answer
    x = 231,948.34

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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.