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Finding the Fourth Proportional to 491,034.89, 736,732.23 and 206,796.98

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Solution

The fourth proportional to 491,034.89, 736,732.23 and 206,796.98 is: 310,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,034.89 : 736,732.23 = 206,796.98 : x
  2. Step 2: Convert to fraction form
    491,034.89/736,732.23 = 206,796.98/x
  3. Step 3: Cross multiply
    491,034.89x = 736,732.23 × 206,796.98
  4. Step 4: Simplify right side
    491,034.89x = 152,354,001,299.01
  5. Step 5: Solve for x
    x = 152,354,001,299.01/491,034.89
  6. Step 6: Final answer
    x = 310,271.23

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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.