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Finding the Fourth Proportional to 349,571.60, 524,746.20 and 192,107.60

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Solution

The fourth proportional to 349,571.60, 524,746.20 and 192,107.60 is: 288,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,571.60 : 524,746.20 = 192,107.60 : x
  2. Step 2: Convert to fraction form
    349,571.60/524,746.20 = 192,107.60/x
  3. Step 3: Cross multiply
    349,571.60x = 524,746.20 × 192,107.60
  4. Step 4: Simplify right side
    349,571.60x = 100,807,733,091.12
  5. Step 5: Solve for x
    x = 100,807,733,091.12/349,571.60
  6. Step 6: Final answer
    x = 288,375.07

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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.