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Finding the Fourth Proportional to 419,265.70, 578,571.12 and 228,275.26

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Solution

The fourth proportional to 419,265.70, 578,571.12 and 228,275.26 is: 315,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,265.70 : 578,571.12 = 228,275.26 : x
  2. Step 2: Convert to fraction form
    419,265.70/578,571.12 = 228,275.26/x
  3. Step 3: Cross multiply
    419,265.70x = 578,571.12 × 228,275.26
  4. Step 4: Simplify right side
    419,265.70x = 132,073,472,846.49
  5. Step 5: Solve for x
    x = 132,073,472,846.49/419,265.70
  6. Step 6: Final answer
    x = 315,011.39

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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.