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Finding the Fourth Proportional to 489,299.51, 733,346.87 and 233,266.97

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Solution

The fourth proportional to 489,299.51, 733,346.87 and 233,266.97 is: 349,613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,299.51 : 733,346.87 = 233,266.97 : x
  2. Step 2: Convert to fraction form
    489,299.51/733,346.87 = 233,266.97/x
  3. Step 3: Cross multiply
    489,299.51x = 733,346.87 × 233,266.97
  4. Step 4: Simplify right side
    489,299.51x = 171,065,597,490.82
  5. Step 5: Solve for x
    x = 171,065,597,490.82/489,299.51
  6. Step 6: Final answer
    x = 349,613.26

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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.