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Finding the Fourth Proportional to 298,350.75, 411,724.05 and 164,214.75

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Solution

The fourth proportional to 298,350.75, 411,724.05 and 164,214.75 is: 226,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,350.75 : 411,724.05 = 164,214.75 : x
  2. Step 2: Convert to fraction form
    298,350.75/411,724.05 = 164,214.75/x
  3. Step 3: Cross multiply
    298,350.75x = 411,724.05 × 164,214.75
  4. Step 4: Simplify right side
    298,350.75x = 67,611,161,939.74
  5. Step 5: Solve for x
    x = 67,611,161,939.74/298,350.75
  6. Step 6: Final answer
    x = 226,616.36

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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.