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Finding the Fourth Proportional to 514,037.20, 770,710.20 and 274,190.80

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Solution

The fourth proportional to 514,037.20, 770,710.20 and 274,190.80 is: 411,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,037.20 : 770,710.20 = 274,190.80 : x
  2. Step 2: Convert to fraction form
    514,037.20/770,710.20 = 274,190.80/x
  3. Step 3: Cross multiply
    514,037.20x = 770,710.20 × 274,190.80
  4. Step 4: Simplify right side
    514,037.20x = 211,321,646,306.16
  5. Step 5: Solve for x
    x = 211,321,646,306.16/514,037.20
  6. Step 6: Final answer
    x = 411,101.85

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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.