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Finding the Fourth Proportional to 409,000.40, 613,500.60 and 159,682.40

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Solution

The fourth proportional to 409,000.40, 613,500.60 and 159,682.40 is: 239,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,000.40 : 613,500.60 = 159,682.40 : x
  2. Step 2: Convert to fraction form
    409,000.40/613,500.60 = 159,682.40/x
  3. Step 3: Cross multiply
    409,000.40x = 613,500.60 × 159,682.40
  4. Step 4: Simplify right side
    409,000.40x = 97,965,248,209.44
  5. Step 5: Solve for x
    x = 97,965,248,209.44/409,000.40
  6. Step 6: Final answer
    x = 239,523.60

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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.