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Finding the Fourth Proportional to 354,513.60, 530,474.40 and 261,201.60

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Solution

The fourth proportional to 354,513.60, 530,474.40 and 261,201.60 is: 390,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,513.60 : 530,474.40 = 261,201.60 : x
  2. Step 2: Convert to fraction form
    354,513.60/530,474.40 = 261,201.60/x
  3. Step 3: Cross multiply
    354,513.60x = 530,474.40 × 261,201.60
  4. Step 4: Simplify right side
    354,513.60x = 138,560,762,039.04
  5. Step 5: Solve for x
    x = 138,560,762,039.04/354,513.60
  6. Step 6: Final answer
    x = 390,847.52

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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.