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Finding the Fourth Proportional to 313,525.62, 469,966.32 and 123,908.94

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Solution

The fourth proportional to 313,525.62, 469,966.32 and 123,908.94 is: 185,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,525.62 : 469,966.32 = 123,908.94 : x
  2. Step 2: Convert to fraction form
    313,525.62/469,966.32 = 123,908.94/x
  3. Step 3: Cross multiply
    313,525.62x = 469,966.32 × 123,908.94
  4. Step 4: Simplify right side
    313,525.62x = 58,233,028,546.90
  5. Step 5: Solve for x
    x = 58,233,028,546.90/313,525.62
  6. Step 6: Final answer
    x = 185,736.11

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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.