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Finding the Fourth Proportional to 290,648.84, 401,107.28 and 163,324.13

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Solution

The fourth proportional to 290,648.84, 401,107.28 and 163,324.13 is: 225,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,648.84 : 401,107.28 = 163,324.13 : x
  2. Step 2: Convert to fraction form
    290,648.84/401,107.28 = 163,324.13/x
  3. Step 3: Cross multiply
    290,648.84x = 401,107.28 × 163,324.13
  4. Step 4: Simplify right side
    290,648.84x = 65,510,494,720.51
  5. Step 5: Solve for x
    x = 65,510,494,720.51/290,648.84
  6. Step 6: Final answer
    x = 225,393.97

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1.5x scale

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.