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Finding the Fourth Proportional to 313,439.38, 432,546.34 and 179,303.38

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Solution

The fourth proportional to 313,439.38, 432,546.34 and 179,303.38 is: 247,438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,439.38 : 432,546.34 = 179,303.38 : x
  2. Step 2: Convert to fraction form
    313,439.38/432,546.34 = 179,303.38/x
  3. Step 3: Cross multiply
    313,439.38x = 432,546.34 × 179,303.38
  4. Step 4: Simplify right side
    313,439.38x = 77,557,020,768.63
  5. Step 5: Solve for x
    x = 77,557,020,768.63/313,439.38
  6. Step 6: Final answer
    x = 247,438.66

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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.