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Finding the Fourth Proportional to 298,397.52, 411,807.24 and 164,261.52

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Solution

The fourth proportional to 298,397.52, 411,807.24 and 164,261.52 is: 226,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,397.52 : 411,807.24 = 164,261.52 : x
  2. Step 2: Convert to fraction form
    298,397.52/411,807.24 = 164,261.52/x
  3. Step 3: Cross multiply
    298,397.52x = 411,807.24 × 164,261.52
  4. Step 4: Simplify right side
    298,397.52x = 67,644,083,189.40
  5. Step 5: Solve for x
    x = 67,644,083,189.40/298,397.52
  6. Step 6: Final answer
    x = 226,691.17

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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.