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Finding the Fourth Proportional to 344,465.24, 516,709.52 and 119,827.61

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Solution

The fourth proportional to 344,465.24, 516,709.52 and 119,827.61 is: 179,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,465.24 : 516,709.52 = 119,827.61 : x
  2. Step 2: Convert to fraction form
    344,465.24/516,709.52 = 119,827.61/x
  3. Step 3: Cross multiply
    344,465.24x = 516,709.52 × 119,827.61
  4. Step 4: Simplify right side
    344,465.24x = 61,916,067,538.48
  5. Step 5: Solve for x
    x = 61,916,067,538.48/344,465.24
  6. Step 6: Final answer
    x = 179,745.47

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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.