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Finding the Fourth Proportional to 522,136.80, 782,038.80 and 428,824.80

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Solution

The fourth proportional to 522,136.80, 782,038.80 and 428,824.80 is: 642,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,136.80 : 782,038.80 = 428,824.80 : x
  2. Step 2: Convert to fraction form
    522,136.80/782,038.80 = 428,824.80/x
  3. Step 3: Cross multiply
    522,136.80x = 782,038.80 × 428,824.80
  4. Step 4: Simplify right side
    522,136.80x = 335,357,632,002.24
  5. Step 5: Solve for x
    x = 335,357,632,002.24/522,136.80
  6. Step 6: Final answer
    x = 642,279.25

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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.