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Finding the Fourth Proportional to 409,724.92, 565,457.52 and 248,620.78

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Solution

The fourth proportional to 409,724.92, 565,457.52 and 248,620.78 is: 343,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,724.92 : 565,457.52 = 248,620.78 : x
  2. Step 2: Convert to fraction form
    409,724.92/565,457.52 = 248,620.78/x
  3. Step 3: Cross multiply
    409,724.92x = 565,457.52 × 248,620.78
  4. Step 4: Simplify right side
    409,724.92x = 140,584,489,679.27
  5. Step 5: Solve for x
    x = 140,584,489,679.27/409,724.92
  6. Step 6: Final answer
    x = 343,119.21

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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.