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Finding the Fourth Proportional to 538,000.20, 805,250.70 and 419,027.40

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Solution

The fourth proportional to 538,000.20, 805,250.70 and 419,027.40 is: 627,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,000.20 : 805,250.70 = 419,027.40 : x
  2. Step 2: Convert to fraction form
    538,000.20/805,250.70 = 419,027.40/x
  3. Step 3: Cross multiply
    538,000.20x = 805,250.70 × 419,027.40
  4. Step 4: Simplify right side
    538,000.20x = 337,422,107,169.18
  5. Step 5: Solve for x
    x = 337,422,107,169.18/538,000.20
  6. Step 6: Final answer
    x = 627,178.40

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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.