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Finding the Fourth Proportional to 334,551.50, 501,171.14 and 194,014.88

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Solution

The fourth proportional to 334,551.50, 501,171.14 and 194,014.88 is: 290,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,551.50 : 501,171.14 = 194,014.88 : x
  2. Step 2: Convert to fraction form
    334,551.50/501,171.14 = 194,014.88/x
  3. Step 3: Cross multiply
    334,551.50x = 501,171.14 × 194,014.88
  4. Step 4: Simplify right side
    334,551.50x = 97,234,658,586.56
  5. Step 5: Solve for x
    x = 97,234,658,586.56/334,551.50
  6. Step 6: Final answer
    x = 290,641.83

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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.