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Finding the Fourth Proportional to 532,761.57, 735,198.94 and 291,045.22

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Solution

The fourth proportional to 532,761.57, 735,198.94 and 291,045.22 is: 401,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,761.57 : 735,198.94 = 291,045.22 : x
  2. Step 2: Convert to fraction form
    532,761.57/735,198.94 = 291,045.22/x
  3. Step 3: Cross multiply
    532,761.57x = 735,198.94 × 291,045.22
  4. Step 4: Simplify right side
    532,761.57x = 213,976,137,236.07
  5. Step 5: Solve for x
    x = 213,976,137,236.07/532,761.57
  6. Step 6: Final answer
    x = 401,635.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.