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Finding the Fourth Proportional to 564,136.20, 847,586.70 and 424,168.20

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Solution

The fourth proportional to 564,136.20, 847,586.70 and 424,168.20 is: 637,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,136.20 : 847,586.70 = 424,168.20 : x
  2. Step 2: Convert to fraction form
    564,136.20/847,586.70 = 424,168.20/x
  3. Step 3: Cross multiply
    564,136.20x = 847,586.70 × 424,168.20
  4. Step 4: Simplify right side
    564,136.20x = 359,519,324,882.94
  5. Step 5: Solve for x
    x = 359,519,324,882.94/564,136.20
  6. Step 6: Final answer
    x = 637,291.71

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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.