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Finding the Fourth Proportional to 282,323.78, 422,944.28 and 175,390.41

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Solution

The fourth proportional to 282,323.78, 422,944.28 and 175,390.41 is: 262,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,323.78 : 422,944.28 = 175,390.41 : x
  2. Step 2: Convert to fraction form
    282,323.78/422,944.28 = 175,390.41/x
  3. Step 3: Cross multiply
    282,323.78x = 422,944.28 × 175,390.41
  4. Step 4: Simplify right side
    282,323.78x = 74,180,373,029.73
  5. Step 5: Solve for x
    x = 74,180,373,029.73/282,323.78
  6. Step 6: Final answer
    x = 262,749.29

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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.