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Finding the Fourth Proportional to 354,216.32, 531,034.92 and 164,794.64

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Solution

The fourth proportional to 354,216.32, 531,034.92 and 164,794.64 is: 247,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,216.32 : 531,034.92 = 164,794.64 : x
  2. Step 2: Convert to fraction form
    354,216.32/531,034.92 = 164,794.64/x
  3. Step 3: Cross multiply
    354,216.32x = 531,034.92 × 164,794.64
  4. Step 4: Simplify right side
    354,216.32x = 87,511,708,468.83
  5. Step 5: Solve for x
    x = 87,511,708,468.83/354,216.32
  6. Step 6: Final answer
    x = 247,057.25

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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.