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Finding the Fourth Proportional to 298,350.76, 411,724.04 and 164,214.76

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Solution

The fourth proportional to 298,350.76, 411,724.04 and 164,214.76 is: 226,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,350.76 : 411,724.04 = 164,214.76 : x
  2. Step 2: Convert to fraction form
    298,350.76/411,724.04 = 164,214.76/x
  3. Step 3: Cross multiply
    298,350.76x = 411,724.04 × 164,214.76
  4. Step 4: Simplify right side
    298,350.76x = 67,611,164,414.83
  5. Step 5: Solve for x
    x = 67,611,164,414.83/298,350.76
  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.