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Finding the Fourth Proportional to 282,005.74, 422,910.06 and 113,482.34

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Solution

The fourth proportional to 282,005.74, 422,910.06 and 113,482.34 is: 170,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,005.74 : 422,910.06 = 113,482.34 : x
  2. Step 2: Convert to fraction form
    282,005.74/422,910.06 = 113,482.34/x
  3. Step 3: Cross multiply
    282,005.74x = 422,910.06 × 113,482.34
  4. Step 4: Simplify right side
    282,005.74x = 47,992,823,218.34
  5. Step 5: Solve for x
    x = 47,992,823,218.34/282,005.74
  6. Step 6: Final answer
    x = 170,183.85

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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.