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Finding the Fourth Proportional to 313,477, 469,754.56 and 185,261.32

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Solution

The fourth proportional to 313,477, 469,754.56 and 185,261.32 is: 277,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,477 : 469,754.56 = 185,261.32 : x
  2. Step 2: Convert to fraction form
    313,477/469,754.56 = 185,261.32/x
  3. Step 3: Cross multiply
    313,477x = 469,754.56 × 185,261.32
  4. Step 4: Simplify right side
    313,477x = 87,027,349,861.62
  5. Step 5: Solve for x
    x = 87,027,349,861.62/313,477
  6. Step 6: Final answer
    x = 277,619.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.