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Finding the Fourth Proportional to 334,605.87, 461,841.35 and 191,410.83

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Solution

The fourth proportional to 334,605.87, 461,841.35 and 191,410.83 is: 264,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,605.87 : 461,841.35 = 191,410.83 : x
  2. Step 2: Convert to fraction form
    334,605.87/461,841.35 = 191,410.83/x
  3. Step 3: Cross multiply
    334,605.87x = 461,841.35 × 191,410.83
  4. Step 4: Simplify right side
    334,605.87x = 88,401,435,174.77
  5. Step 5: Solve for x
    x = 88,401,435,174.77/334,605.87
  6. Step 6: Final answer
    x = 264,195.71

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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.