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Finding the Fourth Proportional to 354,643.35, 531,959.86 and 164,997.65

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Solution

The fourth proportional to 354,643.35, 531,959.86 and 164,997.65 is: 247,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,643.35 : 531,959.86 = 164,997.65 : x
  2. Step 2: Convert to fraction form
    354,643.35/531,959.86 = 164,997.65/x
  3. Step 3: Cross multiply
    354,643.35x = 531,959.86 × 164,997.65
  4. Step 4: Simplify right side
    354,643.35x = 87,772,126,794.33
  5. Step 5: Solve for x
    x = 87,772,126,794.33/354,643.35
  6. Step 6: Final answer
    x = 247,494.07

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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.