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Finding the Fourth Proportional to 562,773.42, 777,309.01 and 409,568.60

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Solution

The fourth proportional to 562,773.42, 777,309.01 and 409,568.60 is: 565,700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,773.42 : 777,309.01 = 409,568.60 : x
  2. Step 2: Convert to fraction form
    562,773.42/777,309.01 = 409,568.60/x
  3. Step 3: Cross multiply
    562,773.42x = 777,309.01 × 409,568.60
  4. Step 4: Simplify right side
    562,773.42x = 318,361,363,912.44
  5. Step 5: Solve for x
    x = 318,361,363,912.44/562,773.42
  6. Step 6: Final answer
    x = 565,700.78

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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.