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Finding the Fourth Proportional to 409,059.87, 613,631.79 and 156,552.77

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Solution

The fourth proportional to 409,059.87, 613,631.79 and 156,552.77 is: 234,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,059.87 : 613,631.79 = 156,552.77 : x
  2. Step 2: Convert to fraction form
    409,059.87/613,631.79 = 156,552.77/x
  3. Step 3: Cross multiply
    409,059.87x = 613,631.79 × 156,552.77
  4. Step 4: Simplify right side
    409,059.87x = 96,065,752,633.64
  5. Step 5: Solve for x
    x = 96,065,752,633.64/409,059.87
  6. Step 6: Final answer
    x = 234,845.21

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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.