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Finding the Fourth Proportional to 459,840.52, 689,559.66 and 231,995.92

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Solution

The fourth proportional to 459,840.52, 689,559.66 and 231,995.92 is: 347,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,840.52 : 689,559.66 = 231,995.92 : x
  2. Step 2: Convert to fraction form
    459,840.52/689,559.66 = 231,995.92/x
  3. Step 3: Cross multiply
    459,840.52x = 689,559.66 × 231,995.92
  4. Step 4: Simplify right side
    459,840.52x = 159,975,027,716.59
  5. Step 5: Solve for x
    x = 159,975,027,716.59/459,840.52
  6. Step 6: Final answer
    x = 347,892.41

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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.