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Finding the Fourth Proportional to 299,884.70, 413,851.95 and 163,927.70

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Solution

The fourth proportional to 299,884.70, 413,851.95 and 163,927.70 is: 226,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,884.70 : 413,851.95 = 163,927.70 : x
  2. Step 2: Convert to fraction form
    299,884.70/413,851.95 = 163,927.70/x
  3. Step 3: Cross multiply
    299,884.70x = 413,851.95 × 163,927.70
  4. Step 4: Simplify right side
    299,884.70x = 67,841,798,304.02
  5. Step 5: Solve for x
    x = 67,841,798,304.02/299,884.70
  6. Step 6: Final answer
    x = 226,226.27

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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.