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Finding the Fourth Proportional to 298,414.52, 411,811.62 and 164,278.52

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Solution

The fourth proportional to 298,414.52, 411,811.62 and 164,278.52 is: 226,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,414.52 : 411,811.62 = 164,278.52 : x
  2. Step 2: Convert to fraction form
    298,414.52/411,811.62 = 164,278.52/x
  3. Step 3: Cross multiply
    298,414.52x = 411,811.62 × 164,278.52
  4. Step 4: Simplify right side
    298,414.52x = 67,651,803,452.40
  5. Step 5: Solve for x
    x = 67,651,803,452.40/298,414.52
  6. Step 6: Final answer
    x = 226,704.13

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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.