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Finding the Fourth Proportional to 283,200.30, 424,800.45 and 259,580.70

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Solution

The fourth proportional to 283,200.30, 424,800.45 and 259,580.70 is: 389,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,200.30 : 424,800.45 = 259,580.70 : x
  2. Step 2: Convert to fraction form
    283,200.30/424,800.45 = 259,580.70/x
  3. Step 3: Cross multiply
    283,200.30x = 424,800.45 × 259,580.70
  4. Step 4: Simplify right side
    283,200.30x = 110,269,998,171.32
  5. Step 5: Solve for x
    x = 110,269,998,171.32/283,200.30
  6. Step 6: Final answer
    x = 389,371.05

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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.