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Finding the Fourth Proportional to 348,296.84, 480,650.50 and 203,202.37

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Solution

The fourth proportional to 348,296.84, 480,650.50 and 203,202.37 is: 280,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,296.84 : 480,650.50 = 203,202.37 : x
  2. Step 2: Convert to fraction form
    348,296.84/480,650.50 = 203,202.37/x
  3. Step 3: Cross multiply
    348,296.84x = 480,650.50 × 203,202.37
  4. Step 4: Simplify right side
    348,296.84x = 97,669,321,051.79
  5. Step 5: Solve for x
    x = 97,669,321,051.79/348,296.84
  6. Step 6: Final answer
    x = 280,419.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.