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Finding the Fourth Proportional to 322,117.48, 444,450.54 and 194,790.34

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Solution

The fourth proportional to 322,117.48, 444,450.54 and 194,790.34 is: 268,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,117.48 : 444,450.54 = 194,790.34 : x
  2. Step 2: Convert to fraction form
    322,117.48/444,450.54 = 194,790.34/x
  3. Step 3: Cross multiply
    322,117.48x = 444,450.54 × 194,790.34
  4. Step 4: Simplify right side
    322,117.48x = 86,574,671,799.78
  5. Step 5: Solve for x
    x = 86,574,671,799.78/322,117.48
  6. Step 6: Final answer
    x = 268,767.38

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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.