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Finding the Fourth Proportional to 297,957.60, 410,778.99 and 202,298.22

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Solution

The fourth proportional to 297,957.60, 410,778.99 and 202,298.22 is: 278,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,957.60 : 410,778.99 = 202,298.22 : x
  2. Step 2: Convert to fraction form
    297,957.60/410,778.99 = 202,298.22/x
  3. Step 3: Cross multiply
    297,957.60x = 410,778.99 × 202,298.22
  4. Step 4: Simplify right side
    297,957.60x = 83,099,858,490.40
  5. Step 5: Solve for x
    x = 83,099,858,490.40/297,957.60
  6. Step 6: Final answer
    x = 278,898.27

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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.