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Finding the Fourth Proportional to 312,305.33, 468,461.82 and 109,907.46

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Solution

The fourth proportional to 312,305.33, 468,461.82 and 109,907.46 is: 164,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,305.33 : 468,461.82 = 109,907.46 : x
  2. Step 2: Convert to fraction form
    312,305.33/468,461.82 = 109,907.46/x
  3. Step 3: Cross multiply
    312,305.33x = 468,461.82 × 109,907.46
  4. Step 4: Simplify right side
    312,305.33x = 51,487,448,743.18
  5. Step 5: Solve for x
    x = 51,487,448,743.18/312,305.33
  6. Step 6: Final answer
    x = 164,862.54

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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.