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Finding the Fourth Proportional to 474,667.83, 711,890.99 and 137,618.02

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Solution

The fourth proportional to 474,667.83, 711,890.99 and 137,618.02 is: 206,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,667.83 : 711,890.99 = 137,618.02 : x
  2. Step 2: Convert to fraction form
    474,667.83/711,890.99 = 137,618.02/x
  3. Step 3: Cross multiply
    474,667.83x = 711,890.99 × 137,618.02
  4. Step 4: Simplify right side
    474,667.83x = 97,969,028,499.64
  5. Step 5: Solve for x
    x = 97,969,028,499.64/474,667.83
  6. Step 6: Final answer
    x = 206,394.92

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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.