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Finding the Fourth Proportional to 312,436.64, 468,558.37 and 112,731.65

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Solution

The fourth proportional to 312,436.64, 468,558.37 and 112,731.65 is: 169,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,436.64 : 468,558.37 = 112,731.65 : x
  2. Step 2: Convert to fraction form
    312,436.64/468,558.37 = 112,731.65/x
  3. Step 3: Cross multiply
    312,436.64x = 468,558.37 × 112,731.65
  4. Step 4: Simplify right side
    312,436.64x = 52,821,357,726.63
  5. Step 5: Solve for x
    x = 52,821,357,726.63/312,436.64
  6. Step 6: Final answer
    x = 169,062.62

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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.