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Finding the Fourth Proportional to 313,438.38, 432,544.96 and 179,302.38

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Solution

The fourth proportional to 313,438.38, 432,544.96 and 179,302.38 is: 247,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,438.38 : 432,544.96 = 179,302.38 : x
  2. Step 2: Convert to fraction form
    313,438.38/432,544.96 = 179,302.38/x
  3. Step 3: Cross multiply
    313,438.38x = 432,544.96 × 179,302.38
  4. Step 4: Simplify right side
    313,438.38x = 77,556,340,785.00
  5. Step 5: Solve for x
    x = 77,556,340,785.00/313,438.38
  6. Step 6: Final answer
    x = 247,437.28

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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.