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Finding the Fourth Proportional to 409,556.80, 565,191.01 and 228,280.24

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Solution

The fourth proportional to 409,556.80, 565,191.01 and 228,280.24 is: 315,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,556.80 : 565,191.01 = 228,280.24 : x
  2. Step 2: Convert to fraction form
    409,556.80/565,191.01 = 228,280.24/x
  3. Step 3: Cross multiply
    409,556.80x = 565,191.01 × 228,280.24
  4. Step 4: Simplify right side
    409,556.80x = 129,021,940,400.48
  5. Step 5: Solve for x
    x = 129,021,940,400.48/409,556.80
  6. Step 6: Final answer
    x = 315,028.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.