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Finding the Fourth Proportional to 413,570.67, 620,017.01 and 147,179.49

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Solution

The fourth proportional to 413,570.67, 620,017.01 and 147,179.49 is: 220,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,570.67 : 620,017.01 = 147,179.49 : x
  2. Step 2: Convert to fraction form
    413,570.67/620,017.01 = 147,179.49/x
  3. Step 3: Cross multiply
    413,570.67x = 620,017.01 × 147,179.49
  4. Step 4: Simplify right side
    413,570.67x = 91,253,787,323.12
  5. Step 5: Solve for x
    x = 91,253,787,323.12/413,570.67
  6. Step 6: Final answer
    x = 220,648.60

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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.