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Finding the Fourth Proportional to 493,019.40, 739,097.10 and 334,734.60

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Solution

The fourth proportional to 493,019.40, 739,097.10 and 334,734.60 is: 501,808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,019.40 : 739,097.10 = 334,734.60 : x
  2. Step 2: Convert to fraction form
    493,019.40/739,097.10 = 334,734.60/x
  3. Step 3: Cross multiply
    493,019.40x = 739,097.10 × 334,734.60
  4. Step 4: Simplify right side
    493,019.40x = 247,401,372,129.66
  5. Step 5: Solve for x
    x = 247,401,372,129.66/493,019.40
  6. Step 6: Final answer
    x = 501,808.59

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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.