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Finding the Fourth Proportional to 409,583.28, 614,374.38 and 110,063.86

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Solution

The fourth proportional to 409,583.28, 614,374.38 and 110,063.86 is: 165,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,583.28 : 614,374.38 = 110,063.86 : x
  2. Step 2: Convert to fraction form
    409,583.28/614,374.38 = 110,063.86/x
  3. Step 3: Cross multiply
    409,583.28x = 614,374.38 × 110,063.86
  4. Step 4: Simplify right side
    409,583.28x = 67,620,415,747.91
  5. Step 5: Solve for x
    x = 67,620,415,747.91/409,583.28
  6. Step 6: Final answer
    x = 165,095.64

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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.