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Finding the Fourth Proportional to 319,704.90, 441,203.45 and 174,519.30

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Solution

The fourth proportional to 319,704.90, 441,203.45 and 174,519.30 is: 240,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,704.90 : 441,203.45 = 174,519.30 : x
  2. Step 2: Convert to fraction form
    319,704.90/441,203.45 = 174,519.30/x
  3. Step 3: Cross multiply
    319,704.90x = 441,203.45 × 174,519.30
  4. Step 4: Simplify right side
    319,704.90x = 76,998,517,251.59
  5. Step 5: Solve for x
    x = 76,998,517,251.59/319,704.90
  6. Step 6: Final answer
    x = 240,842.47

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1.5x scale

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.