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Finding the Fourth Proportional to 291,841.91, 402,748.03 and 164,517.47

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Solution

The fourth proportional to 291,841.91, 402,748.03 and 164,517.47 is: 227,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,841.91 : 402,748.03 = 164,517.47 : x
  2. Step 2: Convert to fraction form
    291,841.91/402,748.03 = 164,517.47/x
  3. Step 3: Cross multiply
    291,841.91x = 402,748.03 × 164,517.47
  4. Step 4: Simplify right side
    291,841.91x = 66,259,086,943.08
  5. Step 5: Solve for x
    x = 66,259,086,943.08/291,841.91
  6. Step 6: Final answer
    x = 227,037.60

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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.