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Finding the Fourth Proportional to 297,832.80, 446,749.20 and 171,424.20

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Solution

The fourth proportional to 297,832.80, 446,749.20 and 171,424.20 is: 257,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,832.80 : 446,749.20 = 171,424.20 : x
  2. Step 2: Convert to fraction form
    297,832.80/446,749.20 = 171,424.20/x
  3. Step 3: Cross multiply
    297,832.80x = 446,749.20 × 171,424.20
  4. Step 4: Simplify right side
    297,832.80x = 76,583,624,210.64
  5. Step 5: Solve for x
    x = 76,583,624,210.64/297,832.80
  6. Step 6: Final answer
    x = 257,136.30

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1.5x scale

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.