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Finding the Fourth Proportional to 298,626, 412,103.88 and 164,490

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Solution

The fourth proportional to 298,626, 412,103.88 and 164,490 is: 226,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,626 : 412,103.88 = 164,490 : x
  2. Step 2: Convert to fraction form
    298,626/412,103.88 = 164,490/x
  3. Step 3: Cross multiply
    298,626x = 412,103.88 × 164,490
  4. Step 4: Simplify right side
    298,626x = 67,786,967,221.20
  5. Step 5: Solve for x
    x = 67,786,967,221.20/298,626
  6. Step 6: Final answer
    x = 226,996.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.