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Finding the Fourth Proportional to 334,511.44, 461,841.96 and 207,322

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Solution

The fourth proportional to 334,511.44, 461,841.96 and 207,322 is: 286,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,511.44 : 461,841.96 = 207,322 : x
  2. Step 2: Convert to fraction form
    334,511.44/461,841.96 = 207,322/x
  3. Step 3: Cross multiply
    334,511.44x = 461,841.96 × 207,322
  4. Step 4: Simplify right side
    334,511.44x = 95,749,998,831.12
  5. Step 5: Solve for x
    x = 95,749,998,831.12/334,511.44
  6. Step 6: Final answer
    x = 286,238.34

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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.