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Finding the Fourth Proportional to 288,611.80, 432,917.70 and 164,195.80

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Solution

The fourth proportional to 288,611.80, 432,917.70 and 164,195.80 is: 246,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,611.80 : 432,917.70 = 164,195.80 : x
  2. Step 2: Convert to fraction form
    288,611.80/432,917.70 = 164,195.80/x
  3. Step 3: Cross multiply
    288,611.80x = 432,917.70 × 164,195.80
  4. Step 4: Simplify right side
    288,611.80x = 71,083,268,085.66
  5. Step 5: Solve for x
    x = 71,083,268,085.66/288,611.80
  6. Step 6: Final answer
    x = 246,293.70

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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.