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Finding the Fourth Proportional to 312,776.64, 469,093.01 and 186,452.55

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Solution

The fourth proportional to 312,776.64, 469,093.01 and 186,452.55 is: 279,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,776.64 : 469,093.01 = 186,452.55 : x
  2. Step 2: Convert to fraction form
    312,776.64/469,093.01 = 186,452.55/x
  3. Step 3: Cross multiply
    312,776.64x = 469,093.01 × 186,452.55
  4. Step 4: Simplify right side
    312,776.64x = 87,463,586,969.41
  5. Step 5: Solve for x
    x = 87,463,586,969.41/312,776.64
  6. Step 6: Final answer
    x = 279,635.93

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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.