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Finding the Fourth Proportional to 489,022.47, 733,708.23 and 297,286.98

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Solution

The fourth proportional to 489,022.47, 733,708.23 and 297,286.98 is: 446,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,022.47 : 733,708.23 = 297,286.98 : x
  2. Step 2: Convert to fraction form
    489,022.47/733,708.23 = 297,286.98/x
  3. Step 3: Cross multiply
    489,022.47x = 733,708.23 × 297,286.98
  4. Step 4: Simplify right side
    489,022.47x = 218,121,903,897.85
  5. Step 5: Solve for x
    x = 218,121,903,897.85/489,022.47
  6. Step 6: Final answer
    x = 446,036.57

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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.