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Finding the Fourth Proportional to 332,442, 458,803.16 and 198,306

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Solution

The fourth proportional to 332,442, 458,803.16 and 198,306 is: 273,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,442 : 458,803.16 = 198,306 : x
  2. Step 2: Convert to fraction form
    332,442/458,803.16 = 198,306/x
  3. Step 3: Cross multiply
    332,442x = 458,803.16 × 198,306
  4. Step 4: Simplify right side
    332,442x = 90,983,419,446.96
  5. Step 5: Solve for x
    x = 90,983,419,446.96/332,442
  6. Step 6: Final answer
    x = 273,682.08

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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.