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Finding the Fourth Proportional to 474,462.56, 711,768 and 204,667.28

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Solution

The fourth proportional to 474,462.56, 711,768 and 204,667.28 is: 307,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,462.56 : 711,768 = 204,667.28 : x
  2. Step 2: Convert to fraction form
    474,462.56/711,768 = 204,667.28/x
  3. Step 3: Cross multiply
    474,462.56x = 711,768 × 204,667.28
  4. Step 4: Simplify right side
    474,462.56x = 145,675,620,551.04
  5. Step 5: Solve for x
    x = 145,675,620,551.04/474,462.56
  6. Step 6: Final answer
    x = 307,032.91

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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.