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Finding the Fourth Proportional to 313,014.74, 469,522.10 and 76,355.82

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Solution

The fourth proportional to 313,014.74, 469,522.10 and 76,355.82 is: 114,533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,014.74 : 469,522.10 = 76,355.82 : x
  2. Step 2: Convert to fraction form
    313,014.74/469,522.10 = 76,355.82/x
  3. Step 3: Cross multiply
    313,014.74x = 469,522.10 × 76,355.82
  4. Step 4: Simplify right side
    313,014.74x = 35,850,744,953.62
  5. Step 5: Solve for x
    x = 35,850,744,953.62/313,014.74
  6. Step 6: Final answer
    x = 114,533.73

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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.