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Finding the Fourth Proportional to 410,112.24, 565,939.08 and 228,814.80

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Solution

The fourth proportional to 410,112.24, 565,939.08 and 228,814.80 is: 315,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,112.24 : 565,939.08 = 228,814.80 : x
  2. Step 2: Convert to fraction form
    410,112.24/565,939.08 = 228,814.80/x
  3. Step 3: Cross multiply
    410,112.24x = 565,939.08 × 228,814.80
  4. Step 4: Simplify right side
    410,112.24x = 129,495,237,402.38
  5. Step 5: Solve for x
    x = 129,495,237,402.38/410,112.24
  6. Step 6: Final answer
    x = 315,755.60

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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.