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Finding the Fourth Proportional to 309,055.60, 463,635.74 and 106,596.73

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Solution

The fourth proportional to 309,055.60, 463,635.74 and 106,596.73 is: 159,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,055.60 : 463,635.74 = 106,596.73 : x
  2. Step 2: Convert to fraction form
    309,055.60/463,635.74 = 106,596.73/x
  3. Step 3: Cross multiply
    309,055.60x = 463,635.74 × 106,596.73
  4. Step 4: Simplify right side
    309,055.60x = 49,422,053,795.13
  5. Step 5: Solve for x
    x = 49,422,053,795.13/309,055.60
  6. Step 6: Final answer
    x = 159,913.15

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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.