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Finding the Fourth Proportional to 334,550.50, 501,169.64 and 194,013.88

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Solution

The fourth proportional to 334,550.50, 501,169.64 and 194,013.88 is: 290,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,550.50 : 501,169.64 = 194,013.88 : x
  2. Step 2: Convert to fraction form
    334,550.50/501,169.64 = 194,013.88/x
  3. Step 3: Cross multiply
    334,550.50x = 501,169.64 × 194,013.88
  4. Step 4: Simplify right side
    334,550.50x = 97,233,866,394.60
  5. Step 5: Solve for x
    x = 97,233,866,394.60/334,550.50
  6. Step 6: Final answer
    x = 290,640.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.