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Finding the Fourth Proportional to 306,593.49, 459,951.75 and 106,860.25

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Solution

The fourth proportional to 306,593.49, 459,951.75 and 106,860.25 is: 160,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,593.49 : 459,951.75 = 106,860.25 : x
  2. Step 2: Convert to fraction form
    306,593.49/459,951.75 = 106,860.25/x
  3. Step 3: Cross multiply
    306,593.49x = 459,951.75 × 106,860.25
  4. Step 4: Simplify right side
    306,593.49x = 49,150,558,992.94
  5. Step 5: Solve for x
    x = 49,150,558,992.94/306,593.49
  6. Step 6: Final answer
    x = 160,311.82

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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.