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Finding the Fourth Proportional to 298,288.94, 411,644.20 and 164,150.06

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Solution

The fourth proportional to 298,288.94, 411,644.20 and 164,150.06 is: 226,530.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,288.94 : 411,644.20 = 164,150.06 : x
  2. Step 2: Convert to fraction form
    298,288.94/411,644.20 = 164,150.06/x
  3. Step 3: Cross multiply
    298,288.94x = 411,644.20 × 164,150.06
  4. Step 4: Simplify right side
    298,288.94x = 67,571,420,128.65
  5. Step 5: Solve for x
    x = 67,571,420,128.65/298,288.94
  6. Step 6: Final answer
    x = 226,530.09

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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.