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Finding the Fourth Proportional to 413,760.35, 620,639.62 and 110,154.60

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Solution

The fourth proportional to 413,760.35, 620,639.62 and 110,154.60 is: 165,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,760.35 : 620,639.62 = 110,154.60 : x
  2. Step 2: Convert to fraction form
    413,760.35/620,639.62 = 110,154.60/x
  3. Step 3: Cross multiply
    413,760.35x = 620,639.62 × 110,154.60
  4. Step 4: Simplify right side
    413,760.35x = 68,366,308,809.87
  5. Step 5: Solve for x
    x = 68,366,308,809.87/413,760.35
  6. Step 6: Final answer
    x = 165,231.66

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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.