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Finding the Fourth Proportional to 489,305.52, 733,355.85 and 233,272.98

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Solution

The fourth proportional to 489,305.52, 733,355.85 and 233,272.98 is: 349,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,305.52 : 733,355.85 = 233,272.98 : x
  2. Step 2: Convert to fraction form
    489,305.52/733,355.85 = 233,272.98/x
  3. Step 3: Cross multiply
    489,305.52x = 733,355.85 × 233,272.98
  4. Step 4: Simplify right side
    489,305.52x = 171,072,104,529.93
  5. Step 5: Solve for x
    x = 171,072,104,529.93/489,305.52
  6. Step 6: Final answer
    x = 349,622.27

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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.