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Finding the Fourth Proportional to 410,076.09, 565,921.41 and 228,803.86

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Solution

The fourth proportional to 410,076.09, 565,921.41 and 228,803.86 is: 315,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,076.09 : 565,921.41 = 228,803.86 : x
  2. Step 2: Convert to fraction form
    410,076.09/565,921.41 = 228,803.86/x
  3. Step 3: Cross multiply
    410,076.09x = 565,921.41 × 228,803.86
  4. Step 4: Simplify right side
    410,076.09x = 129,485,001,920.62
  5. Step 5: Solve for x
    x = 129,485,001,920.62/410,076.09
  6. Step 6: Final answer
    x = 315,758.48

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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.