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Finding the Fourth Proportional to 465,983.60, 699,122.12 and 166,457.60

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Solution

The fourth proportional to 465,983.60, 699,122.12 and 166,457.60 is: 249,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,983.60 : 699,122.12 = 166,457.60 : x
  2. Step 2: Convert to fraction form
    465,983.60/699,122.12 = 166,457.60/x
  3. Step 3: Cross multiply
    465,983.60x = 699,122.12 × 166,457.60
  4. Step 4: Simplify right side
    465,983.60x = 116,374,190,202.11
  5. Step 5: Solve for x
    x = 116,374,190,202.11/465,983.60
  6. Step 6: Final answer
    x = 249,738.81

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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.