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Finding the Fourth Proportional to 282,006.92, 422,179.32 and 247,014.92

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Solution

The fourth proportional to 282,006.92, 422,179.32 and 247,014.92 is: 369,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,006.92 : 422,179.32 = 247,014.92 : x
  2. Step 2: Convert to fraction form
    282,006.92/422,179.32 = 247,014.92/x
  3. Step 3: Cross multiply
    282,006.92x = 422,179.32 × 247,014.92
  4. Step 4: Simplify right side
    282,006.92x = 104,284,590,955.45
  5. Step 5: Solve for x
    x = 104,284,590,955.45/282,006.92
  6. Step 6: Final answer
    x = 369,794.44

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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.