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Finding the Fourth Proportional to 298,418.96, 411,793.80 and 164,282.96

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Solution

The fourth proportional to 298,418.96, 411,793.80 and 164,282.96 is: 226,697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,418.96 : 411,793.80 = 164,282.96 : x
  2. Step 2: Convert to fraction form
    298,418.96/411,793.80 = 164,282.96/x
  3. Step 3: Cross multiply
    298,418.96x = 411,793.80 × 164,282.96
  4. Step 4: Simplify right side
    298,418.96x = 67,650,704,373.65
  5. Step 5: Solve for x
    x = 67,650,704,373.65/298,418.96
  6. Step 6: Final answer
    x = 226,697.07

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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.