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Finding the Fourth Proportional to 512,034.83, 768,132.44 and 417,036.41

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Solution

The fourth proportional to 512,034.83, 768,132.44 and 417,036.41 is: 625,619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,034.83 : 768,132.44 = 417,036.41 : x
  2. Step 2: Convert to fraction form
    512,034.83/768,132.44 = 417,036.41/x
  3. Step 3: Cross multiply
    512,034.83x = 768,132.44 × 417,036.41
  4. Step 4: Simplify right side
    512,034.83x = 320,339,193,096.96
  5. Step 5: Solve for x
    x = 320,339,193,096.96/512,034.83
  6. Step 6: Final answer
    x = 625,619.93

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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.