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Finding the Fourth Proportional to 409,017.52, 613,220.12 and 275,523.12

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Solution

The fourth proportional to 409,017.52, 613,220.12 and 275,523.12 is: 413,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,017.52 : 613,220.12 = 275,523.12 : x
  2. Step 2: Convert to fraction form
    409,017.52/613,220.12 = 275,523.12/x
  3. Step 3: Cross multiply
    409,017.52x = 613,220.12 × 275,523.12
  4. Step 4: Simplify right side
    409,017.52x = 168,956,320,709.17
  5. Step 5: Solve for x
    x = 168,956,320,709.17/409,017.52
  6. Step 6: Final answer
    x = 413,078.44

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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.