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Finding the Fourth Proportional to 569,228.38, 785,553.23 and 311,099.66

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Solution

The fourth proportional to 569,228.38, 785,553.23 and 311,099.66 is: 429,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,228.38 : 785,553.23 = 311,099.66 : x
  2. Step 2: Convert to fraction form
    569,228.38/785,553.23 = 311,099.66/x
  3. Step 3: Cross multiply
    569,228.38x = 785,553.23 × 311,099.66
  4. Step 4: Simplify right side
    569,228.38x = 244,385,341,209.40
  5. Step 5: Solve for x
    x = 244,385,341,209.40/569,228.38
  6. Step 6: Final answer
    x = 429,327.41

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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.