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Finding the Fourth Proportional to 417,563.41, 626,339.67 and 102,023.05

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Solution

The fourth proportional to 417,563.41, 626,339.67 and 102,023.05 is: 153,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,563.41 : 626,339.67 = 102,023.05 : x
  2. Step 2: Convert to fraction form
    417,563.41/626,339.67 = 102,023.05/x
  3. Step 3: Cross multiply
    417,563.41x = 626,339.67 × 102,023.05
  4. Step 4: Simplify right side
    417,563.41x = 63,901,083,469.39
  5. Step 5: Solve for x
    x = 63,901,083,469.39/417,563.41
  6. Step 6: Final answer
    x = 153,033.24

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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.