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Finding the Fourth Proportional to 418,681.20, 628,167.60 and 182,193.60

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Solution

The fourth proportional to 418,681.20, 628,167.60 and 182,193.60 is: 273,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,681.20 : 628,167.60 = 182,193.60 : x
  2. Step 2: Convert to fraction form
    418,681.20/628,167.60 = 182,193.60/x
  3. Step 3: Cross multiply
    418,681.20x = 628,167.60 × 182,193.60
  4. Step 4: Simplify right side
    418,681.20x = 114,448,116,447.36
  5. Step 5: Solve for x
    x = 114,448,116,447.36/418,681.20
  6. Step 6: Final answer
    x = 273,353.85

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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.