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Finding the Fourth Proportional to 489,306.52, 733,357.35 and 233,273.98

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Solution

The fourth proportional to 489,306.52, 733,357.35 and 233,273.98 is: 349,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,306.52 : 733,357.35 = 233,273.98 : x
  2. Step 2: Convert to fraction form
    489,306.52/733,357.35 = 233,273.98/x
  3. Step 3: Cross multiply
    489,306.52x = 733,357.35 × 233,273.98
  4. Step 4: Simplify right side
    489,306.52x = 171,073,187,796.75
  5. Step 5: Solve for x
    x = 171,073,187,796.75/489,306.52
  6. Step 6: Final answer
    x = 349,623.77

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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.