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Finding the Fourth Proportional to 312,509.42, 468,667.49 and 112,804.41

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Solution

The fourth proportional to 312,509.42, 468,667.49 and 112,804.41 is: 169,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,509.42 : 468,667.49 = 112,804.41 : x
  2. Step 2: Convert to fraction form
    312,509.42/468,667.49 = 112,804.41/x
  3. Step 3: Cross multiply
    312,509.42x = 468,667.49 × 112,804.41
  4. Step 4: Simplify right side
    312,509.42x = 52,867,759,131.61
  5. Step 5: Solve for x
    x = 52,867,759,131.61/312,509.42
  6. Step 6: Final answer
    x = 169,171.73

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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.