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Finding the Fourth Proportional to 313,282.60, 469,664.70 and 165,538.60

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Solution

The fourth proportional to 313,282.60, 469,664.70 and 165,538.60 is: 248,170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,282.60 : 469,664.70 = 165,538.60 : x
  2. Step 2: Convert to fraction form
    313,282.60/469,664.70 = 165,538.60/x
  3. Step 3: Cross multiply
    313,282.60x = 469,664.70 × 165,538.60
  4. Step 4: Simplify right side
    313,282.60x = 77,747,636,907.42
  5. Step 5: Solve for x
    x = 77,747,636,907.42/313,282.60
  6. Step 6: Final answer
    x = 248,170.94

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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.