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Finding the Fourth Proportional to 334,293.68, 461,259.48 and 198,302.24

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Solution

The fourth proportional to 334,293.68, 461,259.48 and 198,302.24 is: 273,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,293.68 : 461,259.48 = 198,302.24 : x
  2. Step 2: Convert to fraction form
    334,293.68/461,259.48 = 198,302.24/x
  3. Step 3: Cross multiply
    334,293.68x = 461,259.48 × 198,302.24
  4. Step 4: Simplify right side
    334,293.68x = 91,468,788,105.24
  5. Step 5: Solve for x
    x = 91,468,788,105.24/334,293.68
  6. Step 6: Final answer
    x = 273,618.06

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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.