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Finding the Fourth Proportional to 409,847.62, 565,592.98 and 228,571.24

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Solution

The fourth proportional to 409,847.62, 565,592.98 and 228,571.24 is: 315,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,847.62 : 565,592.98 = 228,571.24 : x
  2. Step 2: Convert to fraction form
    409,847.62/565,592.98 = 228,571.24/x
  3. Step 3: Cross multiply
    409,847.62x = 565,592.98 × 228,571.24
  4. Step 4: Simplify right side
    409,847.62x = 129,278,288,773.90
  5. Step 5: Solve for x
    x = 129,278,288,773.90/409,847.62
  6. Step 6: Final answer
    x = 315,430.13

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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.