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Finding the Fourth Proportional to 291,840.86, 402,766.77 and 177,148.71

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Solution

The fourth proportional to 291,840.86, 402,766.77 and 177,148.71 is: 244,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,840.86 : 402,766.77 = 177,148.71 : x
  2. Step 2: Convert to fraction form
    291,840.86/402,766.77 = 177,148.71/x
  3. Step 3: Cross multiply
    291,840.86x = 402,766.77 × 177,148.71
  4. Step 4: Simplify right side
    291,840.86x = 71,349,613,736.37
  5. Step 5: Solve for x
    x = 71,349,613,736.37/291,840.86
  6. Step 6: Final answer
    x = 244,481.24

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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.