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Finding the Fourth Proportional to 298,262.12, 411,601.72 and 164,126.12

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Solution

The fourth proportional to 298,262.12, 411,601.72 and 164,126.12 is: 226,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,262.12 : 411,601.72 = 164,126.12 : x
  2. Step 2: Convert to fraction form
    298,262.12/411,601.72 = 164,126.12/x
  3. Step 3: Cross multiply
    298,262.12x = 411,601.72 × 164,126.12
  4. Step 4: Simplify right side
    298,262.12x = 67,554,593,288.93
  5. Step 5: Solve for x
    x = 67,554,593,288.93/298,262.12
  6. Step 6: Final answer
    x = 226,494.04

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1.5x scale

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.