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Finding the Fourth Proportional to 399,896.43, 599,723.55 and 210,254.61

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Solution

The fourth proportional to 399,896.43, 599,723.55 and 210,254.61 is: 315,318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,896.43 : 599,723.55 = 210,254.61 : x
  2. Step 2: Convert to fraction form
    399,896.43/599,723.55 = 210,254.61/x
  3. Step 3: Cross multiply
    399,896.43x = 599,723.55 × 210,254.61
  4. Step 4: Simplify right side
    399,896.43x = 126,094,641,113.07
  5. Step 5: Solve for x
    x = 126,094,641,113.07/399,896.43
  6. Step 6: Final answer
    x = 315,318.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.