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Finding the Fourth Proportional to 284,616.10, 426,924.16 and 107,162.92

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Solution

The fourth proportional to 284,616.10, 426,924.16 and 107,162.92 is: 160,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,616.10 : 426,924.16 = 107,162.92 : x
  2. Step 2: Convert to fraction form
    284,616.10/426,924.16 = 107,162.92/x
  3. Step 3: Cross multiply
    284,616.10x = 426,924.16 × 107,162.92
  4. Step 4: Simplify right side
    284,616.10x = 45,750,439,604.15
  5. Step 5: Solve for x
    x = 45,750,439,604.15/284,616.10
  6. Step 6: Final answer
    x = 160,744.38

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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.