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Finding the Fourth Proportional to 413,571.88, 620,396.16 and 160,871.62

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Solution

The fourth proportional to 413,571.88, 620,396.16 and 160,871.62 is: 241,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,571.88 : 620,396.16 = 160,871.62 : x
  2. Step 2: Convert to fraction form
    413,571.88/620,396.16 = 160,871.62/x
  3. Step 3: Cross multiply
    413,571.88x = 620,396.16 × 160,871.62
  4. Step 4: Simplify right side
    413,571.88x = 99,804,135,214.87
  5. Step 5: Solve for x
    x = 99,804,135,214.87/413,571.88
  6. Step 6: Final answer
    x = 241,322.35

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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.