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Finding the Fourth Proportional to 341,691.88, 471,409.86 and 214,321

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Solution

The fourth proportional to 341,691.88, 471,409.86 and 214,321 is: 295,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,691.88 : 471,409.86 = 214,321 : x
  2. Step 2: Convert to fraction form
    341,691.88/471,409.86 = 214,321/x
  3. Step 3: Cross multiply
    341,691.88x = 471,409.86 × 214,321
  4. Step 4: Simplify right side
    341,691.88x = 101,033,032,605.06
  5. Step 5: Solve for x
    x = 101,033,032,605.06/341,691.88
  6. Step 6: Final answer
    x = 295,684.62

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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.