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Finding the Fourth Proportional to 409,763.67, 565,511.18 and 248,659.71

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Solution

The fourth proportional to 409,763.67, 565,511.18 and 248,659.71 is: 343,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,763.67 : 565,511.18 = 248,659.71 : x
  2. Step 2: Convert to fraction form
    409,763.67/565,511.18 = 248,659.71/x
  3. Step 3: Cross multiply
    409,763.67x = 565,511.18 × 248,659.71
  4. Step 4: Simplify right side
    409,763.67x = 140,619,844,777.26
  5. Step 5: Solve for x
    x = 140,619,844,777.26/409,763.67
  6. Step 6: Final answer
    x = 343,173.04

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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.