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Finding the Fourth Proportional to 512,033.83, 768,130.94 and 417,035.41

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Solution

The fourth proportional to 512,033.83, 768,130.94 and 417,035.41 is: 625,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,033.83 : 768,130.94 = 417,035.41 : x
  2. Step 2: Convert to fraction form
    512,033.83/768,130.94 = 417,035.41/x
  3. Step 3: Cross multiply
    512,033.83x = 768,130.94 × 417,035.41
  4. Step 4: Simplify right side
    512,033.83x = 320,337,799,411.41
  5. Step 5: Solve for x
    x = 320,337,799,411.41/512,033.83
  6. Step 6: Final answer
    x = 625,618.43

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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.