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Finding the Fourth Proportional to 299,801.94, 413,732.10 and 163,841.64

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Solution

The fourth proportional to 299,801.94, 413,732.10 and 163,841.64 is: 226,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,801.94 : 413,732.10 = 163,841.64 : x
  2. Step 2: Convert to fraction form
    299,801.94/413,732.10 = 163,841.64/x
  3. Step 3: Cross multiply
    299,801.94x = 413,732.10 × 163,841.64
  4. Step 4: Simplify right side
    299,801.94x = 67,786,545,784.64
  5. Step 5: Solve for x
    x = 67,786,545,784.64/299,801.94
  6. Step 6: Final answer
    x = 226,104.43

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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.