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Finding the Fourth Proportional to 410,057.34, 565,879.38 and 228,769.26

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Solution

The fourth proportional to 410,057.34, 565,879.38 and 228,769.26 is: 315,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,057.34 : 565,879.38 = 228,769.26 : x
  2. Step 2: Convert to fraction form
    410,057.34/565,879.38 = 228,769.26/x
  3. Step 3: Cross multiply
    410,057.34x = 565,879.38 × 228,769.26
  4. Step 4: Simplify right side
    410,057.34x = 129,455,807,011.86
  5. Step 5: Solve for x
    x = 129,455,807,011.86/410,057.34
  6. Step 6: Final answer
    x = 315,701.72

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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.