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Finding the Fourth Proportional to 312,764.99, 431,611.01 and 176,794.16

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Solution

The fourth proportional to 312,764.99, 431,611.01 and 176,794.16 is: 243,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,764.99 : 431,611.01 = 176,794.16 : x
  2. Step 2: Convert to fraction form
    312,764.99/431,611.01 = 176,794.16/x
  3. Step 3: Cross multiply
    312,764.99x = 431,611.01 × 176,794.16
  4. Step 4: Simplify right side
    312,764.99x = 76,306,302,917.68
  5. Step 5: Solve for x
    x = 76,306,302,917.68/312,764.99
  6. Step 6: Final answer
    x = 243,973.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.