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Finding the Fourth Proportional to 274,894.84, 412,387.08 and 97,363.36

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Solution

The fourth proportional to 274,894.84, 412,387.08 and 97,363.36 is: 146,060.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,894.84 : 412,387.08 = 97,363.36 : x
  2. Step 2: Convert to fraction form
    274,894.84/412,387.08 = 97,363.36/x
  3. Step 3: Cross multiply
    274,894.84x = 412,387.08 × 97,363.36
  4. Step 4: Simplify right side
    274,894.84x = 40,151,391,729.39
  5. Step 5: Solve for x
    x = 40,151,391,729.39/274,894.84
  6. Step 6: Final answer
    x = 146,060.91

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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.