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Finding the Fourth Proportional to 299,694.16, 413,570.91 and 163,728.82

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Solution

The fourth proportional to 299,694.16, 413,570.91 and 163,728.82 is: 225,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,694.16 : 413,570.91 = 163,728.82 : x
  2. Step 2: Convert to fraction form
    299,694.16/413,570.91 = 163,728.82/x
  3. Step 3: Cross multiply
    299,694.16x = 413,570.91 × 163,728.82
  4. Step 4: Simplify right side
    299,694.16x = 67,713,477,080.63
  5. Step 5: Solve for x
    x = 67,713,477,080.63/299,694.16
  6. Step 6: Final answer
    x = 225,941.93

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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.