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Finding the Fourth Proportional to 299,714.73, 413,634.93 and 163,769.34

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Solution

The fourth proportional to 299,714.73, 413,634.93 and 163,769.34 is: 226,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,714.73 : 413,634.93 = 163,769.34 : x
  2. Step 2: Convert to fraction form
    299,714.73/413,634.93 = 163,769.34/x
  3. Step 3: Cross multiply
    299,714.73x = 413,634.93 × 163,769.34
  4. Step 4: Simplify right side
    299,714.73x = 67,740,719,487.05
  5. Step 5: Solve for x
    x = 67,740,719,487.05/299,714.73
  6. Step 6: Final answer
    x = 226,017.32

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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.