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Finding the Fourth Proportional to 409,786.70, 614,259.05 and 156,998.66

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Solution

The fourth proportional to 409,786.70, 614,259.05 and 156,998.66 is: 235,336.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,786.70 : 614,259.05 = 156,998.66 : x
  2. Step 2: Convert to fraction form
    409,786.70/614,259.05 = 156,998.66/x
  3. Step 3: Cross multiply
    409,786.70x = 614,259.05 × 156,998.66
  4. Step 4: Simplify right side
    409,786.70x = 96,437,843,886.58
  5. Step 5: Solve for x
    x = 96,437,843,886.58/409,786.70
  6. Step 6: Final answer
    x = 235,336.69

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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.