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Finding the Fourth Proportional to 500,213.66, 689,666.55 and 397,998.14

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Solution

The fourth proportional to 500,213.66, 689,666.55 and 397,998.14 is: 548,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,213.66 : 689,666.55 = 397,998.14 : x
  2. Step 2: Convert to fraction form
    500,213.66/689,666.55 = 397,998.14/x
  3. Step 3: Cross multiply
    500,213.66x = 689,666.55 × 397,998.14
  4. Step 4: Simplify right side
    500,213.66x = 274,486,004,120.22
  5. Step 5: Solve for x
    x = 274,486,004,120.22/500,213.66
  6. Step 6: Final answer
    x = 548,737.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.