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Finding the Fourth Proportional to 303,971, 419,501.70 and 168,002.02

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Solution

The fourth proportional to 303,971, 419,501.70 and 168,002.02 is: 231,854.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,971 : 419,501.70 = 168,002.02 : x
  2. Step 2: Convert to fraction form
    303,971/419,501.70 = 168,002.02/x
  3. Step 3: Cross multiply
    303,971x = 419,501.70 × 168,002.02
  4. Step 4: Simplify right side
    303,971x = 70,477,132,993.43
  5. Step 5: Solve for x
    x = 70,477,132,993.43/303,971
  6. Step 6: Final answer
    x = 231,854.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.