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Finding the Fourth Proportional to 410,141.86, 565,997.15 and 228,850.49

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Solution

The fourth proportional to 410,141.86, 565,997.15 and 228,850.49 is: 315,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,141.86 : 565,997.15 = 228,850.49 : x
  2. Step 2: Convert to fraction form
    410,141.86/565,997.15 = 228,850.49/x
  3. Step 3: Cross multiply
    410,141.86x = 565,997.15 × 228,850.49
  4. Step 4: Simplify right side
    410,141.86x = 129,528,725,116.10
  5. Step 5: Solve for x
    x = 129,528,725,116.10/410,141.86
  6. Step 6: Final answer
    x = 315,814.45

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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.