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Finding the Fourth Proportional to 514,136.70, 770,859.45 and 274,290.30

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Solution

The fourth proportional to 514,136.70, 770,859.45 and 274,290.30 is: 411,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,136.70 : 770,859.45 = 274,290.30 : x
  2. Step 2: Convert to fraction form
    514,136.70/770,859.45 = 274,290.30/x
  3. Step 3: Cross multiply
    514,136.70x = 770,859.45 × 274,290.30
  4. Step 4: Simplify right side
    514,136.70x = 211,439,269,798.34
  5. Step 5: Solve for x
    x = 211,439,269,798.34/514,136.70
  6. Step 6: Final answer
    x = 411,251.07

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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.