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Finding the Fourth Proportional to 415,329.36, 622,994.04 and 237,712.56

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Solution

The fourth proportional to 415,329.36, 622,994.04 and 237,712.56 is: 356,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,329.36 : 622,994.04 = 237,712.56 : x
  2. Step 2: Convert to fraction form
    415,329.36/622,994.04 = 237,712.56/x
  3. Step 3: Cross multiply
    415,329.36x = 622,994.04 × 237,712.56
  4. Step 4: Simplify right side
    415,329.36x = 148,093,508,113.14
  5. Step 5: Solve for x
    x = 148,093,508,113.14/415,329.36
  6. Step 6: Final answer
    x = 356,568.84

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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.