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Finding the Fourth Proportional to 282,010.92, 422,185.32 and 247,018.92

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Solution

The fourth proportional to 282,010.92, 422,185.32 and 247,018.92 is: 369,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,010.92 : 422,185.32 = 247,018.92 : x
  2. Step 2: Convert to fraction form
    282,010.92/422,185.32 = 247,018.92/x
  3. Step 3: Cross multiply
    282,010.92x = 422,185.32 × 247,018.92
  4. Step 4: Simplify right side
    282,010.92x = 104,287,761,786.25
  5. Step 5: Solve for x
    x = 104,287,761,786.25/282,010.92
  6. Step 6: Final answer
    x = 369,800.44

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1.5x scale

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.