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Finding the Fourth Proportional to 409,851.82, 565,594.41 and 228,563.96

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Solution

The fourth proportional to 409,851.82, 565,594.41 and 228,563.96 is: 315,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,851.82 : 565,594.41 = 228,563.96 : x
  2. Step 2: Convert to fraction form
    409,851.82/565,594.41 = 228,563.96/x
  3. Step 3: Cross multiply
    409,851.82x = 565,594.41 × 228,563.96
  4. Step 4: Simplify right side
    409,851.82x = 129,274,496,132.61
  5. Step 5: Solve for x
    x = 129,274,496,132.61/409,851.82
  6. Step 6: Final answer
    x = 315,417.64

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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.