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Finding the Fourth Proportional to 334,528.92, 461,658.96 and 189,324

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Solution

The fourth proportional to 334,528.92, 461,658.96 and 189,324 is: 261,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,528.92 : 461,658.96 = 189,324 : x
  2. Step 2: Convert to fraction form
    334,528.92/461,658.96 = 189,324/x
  3. Step 3: Cross multiply
    334,528.92x = 461,658.96 × 189,324
  4. Step 4: Simplify right side
    334,528.92x = 87,403,120,943.04
  5. Step 5: Solve for x
    x = 87,403,120,943.04/334,528.92
  6. Step 6: Final answer
    x = 261,272.24

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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.