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Finding the Fourth Proportional to 413,851.09, 620,770.49 and 114,325.04

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Solution

The fourth proportional to 413,851.09, 620,770.49 and 114,325.04 is: 171,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,851.09 : 620,770.49 = 114,325.04 : x
  2. Step 2: Convert to fraction form
    413,851.09/620,770.49 = 114,325.04/x
  3. Step 3: Cross multiply
    413,851.09x = 620,770.49 × 114,325.04
  4. Step 4: Simplify right side
    413,851.09x = 70,969,607,424.59
  5. Step 5: Solve for x
    x = 70,969,607,424.59/413,851.09
  6. Step 6: Final answer
    x = 171,485.85

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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.