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Finding the Fourth Proportional to 312,284.97, 468,281.12 and 112,578.93

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Solution

The fourth proportional to 312,284.97, 468,281.12 and 112,578.93 is: 168,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,284.97 : 468,281.12 = 112,578.93 : x
  2. Step 2: Convert to fraction form
    312,284.97/468,281.12 = 112,578.93/x
  3. Step 3: Cross multiply
    312,284.97x = 468,281.12 × 112,578.93
  4. Step 4: Simplify right side
    312,284.97x = 52,718,586,865.91
  5. Step 5: Solve for x
    x = 52,718,586,865.91/312,284.97
  6. Step 6: Final answer
    x = 168,815.64

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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.