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Finding the Fourth Proportional to 409,993.21, 565,534.49 and 264,743.60

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Solution

The fourth proportional to 409,993.21, 565,534.49 and 264,743.60 is: 365,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,993.21 : 565,534.49 = 264,743.60 : x
  2. Step 2: Convert to fraction form
    409,993.21/565,534.49 = 264,743.60/x
  3. Step 3: Cross multiply
    409,993.21x = 565,534.49 × 264,743.60
  4. Step 4: Simplify right side
    409,993.21x = 149,721,636,806.76
  5. Step 5: Solve for x
    x = 149,721,636,806.76/409,993.21
  6. Step 6: Final answer
    x = 365,180.78

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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.