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Finding the Fourth Proportional to 465,183.60, 697,332.42 and 149,419.14

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Solution

The fourth proportional to 465,183.60, 697,332.42 and 149,419.14 is: 223,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,183.60 : 697,332.42 = 149,419.14 : x
  2. Step 2: Convert to fraction form
    465,183.60/697,332.42 = 149,419.14/x
  3. Step 3: Cross multiply
    465,183.60x = 697,332.42 × 149,419.14
  4. Step 4: Simplify right side
    465,183.60x = 104,194,810,490.52
  5. Step 5: Solve for x
    x = 104,194,810,490.52/465,183.60
  6. Step 6: Final answer
    x = 223,986.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.