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Finding the Fourth Proportional to 414,216.50, 620,533.20 and 347,177.66

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Solution

The fourth proportional to 414,216.50, 620,533.20 and 347,177.66 is: 520,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,216.50 : 620,533.20 = 347,177.66 : x
  2. Step 2: Convert to fraction form
    414,216.50/620,533.20 = 347,177.66/x
  3. Step 3: Cross multiply
    414,216.50x = 620,533.20 × 347,177.66
  4. Step 4: Simplify right side
    414,216.50x = 215,435,264,328.31
  5. Step 5: Solve for x
    x = 215,435,264,328.31/414,216.50
  6. Step 6: Final answer
    x = 520,103.05

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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.