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Finding the Fourth Proportional to 298,433.52, 411,838.20 and 164,297.52

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Solution

The fourth proportional to 298,433.52, 411,838.20 and 164,297.52 is: 226,730.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,433.52 : 411,838.20 = 164,297.52 : x
  2. Step 2: Convert to fraction form
    298,433.52/411,838.20 = 164,297.52/x
  3. Step 3: Cross multiply
    298,433.52x = 411,838.20 × 164,297.52
  4. Step 4: Simplify right side
    298,433.52x = 67,663,994,901.26
  5. Step 5: Solve for x
    x = 67,663,994,901.26/298,433.52
  6. Step 6: Final answer
    x = 226,730.55

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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.