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Finding the Fourth Proportional to 354,467.26, 531,698.16 and 88,226

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Solution

The fourth proportional to 354,467.26, 531,698.16 and 88,226 is: 132,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,467.26 : 531,698.16 = 88,226 : x
  2. Step 2: Convert to fraction form
    354,467.26/531,698.16 = 88,226/x
  3. Step 3: Cross multiply
    354,467.26x = 531,698.16 × 88,226
  4. Step 4: Simplify right side
    354,467.26x = 46,909,601,864.16
  5. Step 5: Solve for x
    x = 46,909,601,864.16/354,467.26
  6. Step 6: Final answer
    x = 132,338.32

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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.