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Finding the Fourth Proportional to 299,493.78, 413,298.24 and 163,527.30

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Solution

The fourth proportional to 299,493.78, 413,298.24 and 163,527.30 is: 225,665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,493.78 : 413,298.24 = 163,527.30 : x
  2. Step 2: Convert to fraction form
    299,493.78/413,298.24 = 163,527.30/x
  3. Step 3: Cross multiply
    299,493.78x = 413,298.24 × 163,527.30
  4. Step 4: Simplify right side
    299,493.78x = 67,585,545,281.95
  5. Step 5: Solve for x
    x = 67,585,545,281.95/299,493.78
  6. Step 6: Final answer
    x = 225,665.94

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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.