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Finding the Fourth Proportional to 334,513.44, 461,844.72 and 207,324

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Solution

The fourth proportional to 334,513.44, 461,844.72 and 207,324 is: 286,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,513.44 : 461,844.72 = 207,324 : x
  2. Step 2: Convert to fraction form
    334,513.44/461,844.72 = 207,324/x
  3. Step 3: Cross multiply
    334,513.44x = 461,844.72 × 207,324
  4. Step 4: Simplify right side
    334,513.44x = 95,751,494,729.28
  5. Step 5: Solve for x
    x = 95,751,494,729.28/334,513.44
  6. Step 6: Final answer
    x = 286,241.10

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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.