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Finding the Fourth Proportional to 299,726.09, 413,617.16 and 163,757.11

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Solution

The fourth proportional to 299,726.09, 413,617.16 and 163,757.11 is: 225,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,726.09 : 413,617.16 = 163,757.11 : x
  2. Step 2: Convert to fraction form
    299,726.09/413,617.16 = 163,757.11/x
  3. Step 3: Cross multiply
    299,726.09x = 413,617.16 × 163,757.11
  4. Step 4: Simplify right side
    299,726.09x = 67,732,750,768.01
  5. Step 5: Solve for x
    x = 67,732,750,768.01/299,726.09
  6. Step 6: Final answer
    x = 225,982.17

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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.