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Finding the Fourth Proportional to 297,867.60, 446,801.40 and 261,709.20

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Solution

The fourth proportional to 297,867.60, 446,801.40 and 261,709.20 is: 392,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,867.60 : 446,801.40 = 261,709.20 : x
  2. Step 2: Convert to fraction form
    297,867.60/446,801.40 = 261,709.20/x
  3. Step 3: Cross multiply
    297,867.60x = 446,801.40 × 261,709.20
  4. Step 4: Simplify right side
    297,867.60x = 116,932,036,952.88
  5. Step 5: Solve for x
    x = 116,932,036,952.88/297,867.60
  6. Step 6: Final answer
    x = 392,563.80

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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.