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Finding the Fourth Proportional to 477,394.36, 716,091.30 and 227,318.20

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Solution

The fourth proportional to 477,394.36, 716,091.30 and 227,318.20 is: 340,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,394.36 : 716,091.30 = 227,318.20 : x
  2. Step 2: Convert to fraction form
    477,394.36/716,091.30 = 227,318.20/x
  3. Step 3: Cross multiply
    477,394.36x = 716,091.30 × 227,318.20
  4. Step 4: Simplify right side
    477,394.36x = 162,780,585,351.66
  5. Step 5: Solve for x
    x = 162,780,585,351.66/477,394.36
  6. Step 6: Final answer
    x = 340,977.19

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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.