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Finding the Fourth Proportional to 346,098.60, 519,320.70 and 196,453.80

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Solution

The fourth proportional to 346,098.60, 519,320.70 and 196,453.80 is: 294,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,098.60 : 519,320.70 = 196,453.80 : x
  2. Step 2: Convert to fraction form
    346,098.60/519,320.70 = 196,453.80/x
  3. Step 3: Cross multiply
    346,098.60x = 519,320.70 × 196,453.80
  4. Step 4: Simplify right side
    346,098.60x = 102,022,524,933.66
  5. Step 5: Solve for x
    x = 102,022,524,933.66/346,098.60
  6. Step 6: Final answer
    x = 294,778.79

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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.