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Finding the Fourth Proportional to 297,869.40, 446,804.10 and 171,898.20

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Solution

The fourth proportional to 297,869.40, 446,804.10 and 171,898.20 is: 257,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,869.40 : 446,804.10 = 171,898.20 : x
  2. Step 2: Convert to fraction form
    297,869.40/446,804.10 = 171,898.20/x
  3. Step 3: Cross multiply
    297,869.40x = 446,804.10 × 171,898.20
  4. Step 4: Simplify right side
    297,869.40x = 76,804,820,542.62
  5. Step 5: Solve for x
    x = 76,804,820,542.62/297,869.40
  6. Step 6: Final answer
    x = 257,847.30

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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.