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Finding the Fourth Proportional to 300,599, 414,839.66 and 166,463

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Solution

The fourth proportional to 300,599, 414,839.66 and 166,463 is: 229,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,599 : 414,839.66 = 166,463 : x
  2. Step 2: Convert to fraction form
    300,599/414,839.66 = 166,463/x
  3. Step 3: Cross multiply
    300,599x = 414,839.66 × 166,463
  4. Step 4: Simplify right side
    300,599x = 69,055,454,322.58
  5. Step 5: Solve for x
    x = 69,055,454,322.58/300,599
  6. Step 6: Final answer
    x = 229,726.16

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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.