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Finding the Fourth Proportional to 474,369.89, 711,554.78 and 137,410.65

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Solution

The fourth proportional to 474,369.89, 711,554.78 and 137,410.65 is: 206,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,369.89 : 711,554.78 = 137,410.65 : x
  2. Step 2: Convert to fraction form
    474,369.89/711,554.78 = 137,410.65/x
  3. Step 3: Cross multiply
    474,369.89x = 711,554.78 × 137,410.65
  4. Step 4: Simplify right side
    474,369.89x = 97,775,205,173.93
  5. Step 5: Solve for x
    x = 97,775,205,173.93/474,369.89
  6. Step 6: Final answer
    x = 206,115.96

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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.