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Finding the Fourth Proportional to 312,833.41, 469,367.38 and 144,434.41

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Solution

The fourth proportional to 312,833.41, 469,367.38 and 144,434.41 is: 216,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,833.41 : 469,367.38 = 144,434.41 : x
  2. Step 2: Convert to fraction form
    312,833.41/469,367.38 = 144,434.41/x
  3. Step 3: Cross multiply
    312,833.41x = 469,367.38 × 144,434.41
  4. Step 4: Simplify right side
    312,833.41x = 67,792,800,603.55
  5. Step 5: Solve for x
    x = 67,792,800,603.55/312,833.41
  6. Step 6: Final answer
    x = 216,705.76

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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.