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Finding the Fourth Proportional to 379,363.96, 523,543.26 and 209,594.44

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Solution

The fourth proportional to 379,363.96, 523,543.26 and 209,594.44 is: 289,251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,363.96 : 523,543.26 = 209,594.44 : x
  2. Step 2: Convert to fraction form
    379,363.96/523,543.26 = 209,594.44/x
  3. Step 3: Cross multiply
    379,363.96x = 523,543.26 × 209,594.44
  4. Step 4: Simplify right side
    379,363.96x = 109,731,756,395.47
  5. Step 5: Solve for x
    x = 109,731,756,395.47/379,363.96
  6. Step 6: Final answer
    x = 289,251.93

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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.