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Finding the Fourth Proportional to 349,086.79, 523,619.72 and 96,382.70

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Solution

The fourth proportional to 349,086.79, 523,619.72 and 96,382.70 is: 144,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,086.79 : 523,619.72 = 96,382.70 : x
  2. Step 2: Convert to fraction form
    349,086.79/523,619.72 = 96,382.70/x
  3. Step 3: Cross multiply
    349,086.79x = 523,619.72 × 96,382.70
  4. Step 4: Simplify right side
    349,086.79x = 50,467,882,386.84
  5. Step 5: Solve for x
    x = 50,467,882,386.84/349,086.79
  6. Step 6: Final answer
    x = 144,571.16

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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.