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Finding the Fourth Proportional to 532,944.75, 735,432.77 and 291,229.31

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Solution

The fourth proportional to 532,944.75, 735,432.77 and 291,229.31 is: 401,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,944.75 : 735,432.77 = 291,229.31 : x
  2. Step 2: Convert to fraction form
    532,944.75/735,432.77 = 291,229.31/x
  3. Step 3: Cross multiply
    532,944.75x = 735,432.77 × 291,229.31
  4. Step 4: Simplify right side
    532,944.75x = 214,179,573,025.18
  5. Step 5: Solve for x
    x = 214,179,573,025.18/532,944.75
  6. Step 6: Final answer
    x = 401,879.51

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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.