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Finding the Fourth Proportional to 284,091.20, 425,845.20 and 165,701.60

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Solution

The fourth proportional to 284,091.20, 425,845.20 and 165,701.60 is: 248,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,091.20 : 425,845.20 = 165,701.60 : x
  2. Step 2: Convert to fraction form
    284,091.20/425,845.20 = 165,701.60/x
  3. Step 3: Cross multiply
    284,091.20x = 425,845.20 × 165,701.60
  4. Step 4: Simplify right side
    284,091.20x = 70,563,230,992.32
  5. Step 5: Solve for x
    x = 70,563,230,992.32/284,091.20
  6. Step 6: Final answer
    x = 248,382.32

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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.