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Finding the Fourth Proportional to 489,864.42, 676,006.97 and 274,998.96

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Solution

The fourth proportional to 489,864.42, 676,006.97 and 274,998.96 is: 379,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,864.42 : 676,006.97 = 274,998.96 : x
  2. Step 2: Convert to fraction form
    489,864.42/676,006.97 = 274,998.96/x
  3. Step 3: Cross multiply
    489,864.42x = 676,006.97 × 274,998.96
  4. Step 4: Simplify right side
    489,864.42x = 185,901,212,327.76
  5. Step 5: Solve for x
    x = 185,901,212,327.76/489,864.42
  6. Step 6: Final answer
    x = 379,495.23

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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.