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Finding the Fourth Proportional to 312,286.97, 468,284.11 and 112,580.93

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Solution

The fourth proportional to 312,286.97, 468,284.11 and 112,580.93 is: 168,818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,286.97 : 468,284.11 = 112,580.93 : x
  2. Step 2: Convert to fraction form
    312,286.97/468,284.11 = 112,580.93/x
  3. Step 3: Cross multiply
    312,286.97x = 468,284.11 × 112,580.93
  4. Step 4: Simplify right side
    312,286.97x = 52,719,860,608.02
  5. Step 5: Solve for x
    x = 52,719,860,608.02/312,286.97
  6. Step 6: Final answer
    x = 168,818.64

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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.