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Finding the Fourth Proportional to 312,584.94, 468,599.31 and 112,860.90

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Solution

The fourth proportional to 312,584.94, 468,599.31 and 112,860.90 is: 169,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,584.94 : 468,599.31 = 112,860.90 : x
  2. Step 2: Convert to fraction form
    312,584.94/468,599.31 = 112,860.90/x
  3. Step 3: Cross multiply
    312,584.94x = 468,599.31 × 112,860.90
  4. Step 4: Simplify right side
    312,584.94x = 52,886,539,865.98
  5. Step 5: Solve for x
    x = 52,886,539,865.98/312,584.94
  6. Step 6: Final answer
    x = 169,190.94

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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.