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Finding the Fourth Proportional to 298,290, 411,640.28 and 164,154

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Solution

The fourth proportional to 298,290, 411,640.28 and 164,154 is: 226,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,290 : 411,640.28 = 164,154 : x
  2. Step 2: Convert to fraction form
    298,290/411,640.28 = 164,154/x
  3. Step 3: Cross multiply
    298,290x = 411,640.28 × 164,154
  4. Step 4: Simplify right side
    298,290x = 67,572,398,523.12
  5. Step 5: Solve for x
    x = 67,572,398,523.12/298,290
  6. Step 6: Final answer
    x = 226,532.56

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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.