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Finding the Fourth Proportional to 409,025.40, 613,538.10 and 128,542.20

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Solution

The fourth proportional to 409,025.40, 613,538.10 and 128,542.20 is: 192,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,025.40 : 613,538.10 = 128,542.20 : x
  2. Step 2: Convert to fraction form
    409,025.40/613,538.10 = 128,542.20/x
  3. Step 3: Cross multiply
    409,025.40x = 613,538.10 × 128,542.20
  4. Step 4: Simplify right side
    409,025.40x = 78,865,537,157.82
  5. Step 5: Solve for x
    x = 78,865,537,157.82/409,025.40
  6. Step 6: Final answer
    x = 192,813.30

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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.