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Finding the Fourth Proportional to 319,827, 441,400.14 and 185,691

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Solution

The fourth proportional to 319,827, 441,400.14 and 185,691 is: 256,276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,827 : 441,400.14 = 185,691 : x
  2. Step 2: Convert to fraction form
    319,827/441,400.14 = 185,691/x
  3. Step 3: Cross multiply
    319,827x = 441,400.14 × 185,691
  4. Step 4: Simplify right side
    319,827x = 81,964,033,396.74
  5. Step 5: Solve for x
    x = 81,964,033,396.74/319,827
  6. Step 6: Final answer
    x = 256,276.15

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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.