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Finding the Fourth Proportional to 291,629.74, 402,449.06 and 157,493.74

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Solution

The fourth proportional to 291,629.74, 402,449.06 and 157,493.74 is: 217,341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,629.74 : 402,449.06 = 157,493.74 : x
  2. Step 2: Convert to fraction form
    291,629.74/402,449.06 = 157,493.74/x
  3. Step 3: Cross multiply
    291,629.74x = 402,449.06 × 157,493.74
  4. Step 4: Simplify right side
    291,629.74x = 63,383,207,618.88
  5. Step 5: Solve for x
    x = 63,383,207,618.88/291,629.74
  6. Step 6: Final answer
    x = 217,341.37

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