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Finding the Fourth Proportional to 539,591.22, 744,389.19 and 313,105.50

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Solution

The fourth proportional to 539,591.22, 744,389.19 and 313,105.50 is: 431,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,591.22 : 744,389.19 = 313,105.50 : x
  2. Step 2: Convert to fraction form
    539,591.22/744,389.19 = 313,105.50/x
  3. Step 3: Cross multiply
    539,591.22x = 744,389.19 × 313,105.50
  4. Step 4: Simplify right side
    539,591.22x = 233,072,349,529.55
  5. Step 5: Solve for x
    x = 233,072,349,529.55/539,591.22
  6. Step 6: Final answer
    x = 431,942.44

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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.