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Finding the Fourth Proportional to 298,398.52, 411,808.62 and 164,262.52

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Solution

The fourth proportional to 298,398.52, 411,808.62 and 164,262.52 is: 226,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,398.52 : 411,808.62 = 164,262.52 : x
  2. Step 2: Convert to fraction form
    298,398.52/411,808.62 = 164,262.52/x
  3. Step 3: Cross multiply
    298,398.52x = 411,808.62 × 164,262.52
  4. Step 4: Simplify right side
    298,398.52x = 67,644,721,678.92
  5. Step 5: Solve for x
    x = 67,644,721,678.92/298,398.52
  6. Step 6: Final answer
    x = 226,692.55

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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.