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Finding the Fourth Proportional to 596,092.96, 822,596.88 and 327,820.96

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Solution

The fourth proportional to 596,092.96, 822,596.88 and 327,820.96 is: 452,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,092.96 : 822,596.88 = 327,820.96 : x
  2. Step 2: Convert to fraction form
    596,092.96/822,596.88 = 327,820.96/x
  3. Step 3: Cross multiply
    596,092.96x = 822,596.88 × 327,820.96
  4. Step 4: Simplify right side
    596,092.96x = 269,664,498,894.61
  5. Step 5: Solve for x
    x = 269,664,498,894.61/596,092.96
  6. Step 6: Final answer
    x = 452,386.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.