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Finding the Fourth Proportional to 683,723.94, 943,308 and 397,008.24

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Solution

The fourth proportional to 683,723.94, 943,308 and 397,008.24 is: 547,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,723.94 : 943,308 = 397,008.24 : x
  2. Step 2: Convert to fraction form
    683,723.94/943,308 = 397,008.24/x
  3. Step 3: Cross multiply
    683,723.94x = 943,308 × 397,008.24
  4. Step 4: Simplify right side
    683,723.94x = 374,501,048,857.92
  5. Step 5: Solve for x
    x = 374,501,048,857.92/683,723.94
  6. Step 6: Final answer
    x = 547,737.22

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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.