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Finding the Fourth Proportional to 413,568.67, 620,014.01 and 147,177.49

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Solution

The fourth proportional to 413,568.67, 620,014.01 and 147,177.49 is: 220,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,568.67 : 620,014.01 = 147,177.49 : x
  2. Step 2: Convert to fraction form
    413,568.67/620,014.01 = 147,177.49/x
  3. Step 3: Cross multiply
    413,568.67x = 620,014.01 × 147,177.49
  4. Step 4: Simplify right side
    413,568.67x = 91,252,104,574.54
  5. Step 5: Solve for x
    x = 91,252,104,574.54/413,568.67
  6. Step 6: Final answer
    x = 220,645.59

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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.