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Finding the Fourth Proportional to 465,183.60, 697,332.44 and 149,419.12

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Solution

The fourth proportional to 465,183.60, 697,332.44 and 149,419.12 is: 223,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,183.60 : 697,332.44 = 149,419.12 : x
  2. Step 2: Convert to fraction form
    465,183.60/697,332.44 = 149,419.12/x
  3. Step 3: Cross multiply
    465,183.60x = 697,332.44 × 149,419.12
  4. Step 4: Simplify right side
    465,183.60x = 104,194,799,532.25
  5. Step 5: Solve for x
    x = 104,194,799,532.25/465,183.60
  6. Step 6: Final answer
    x = 223,986.40

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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.