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Finding the Fourth Proportional to 522,126.80, 782,023.80 and 428,814.80

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Solution

The fourth proportional to 522,126.80, 782,023.80 and 428,814.80 is: 642,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,126.80 : 782,023.80 = 428,814.80 : x
  2. Step 2: Convert to fraction form
    522,126.80/782,023.80 = 428,814.80/x
  3. Step 3: Cross multiply
    522,126.80x = 782,023.80 × 428,814.80
  4. Step 4: Simplify right side
    522,126.80x = 335,343,379,392.24
  5. Step 5: Solve for x
    x = 335,343,379,392.24/522,126.80
  6. Step 6: Final answer
    x = 642,264.25

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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.