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Finding the Fourth Proportional to 412,364.84, 618,372.30 and 146,192.36

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Solution

The fourth proportional to 412,364.84, 618,372.30 and 146,192.36 is: 219,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,364.84 : 618,372.30 = 146,192.36 : x
  2. Step 2: Convert to fraction form
    412,364.84/618,372.30 = 146,192.36/x
  3. Step 3: Cross multiply
    412,364.84x = 618,372.30 × 146,192.36
  4. Step 4: Simplify right side
    412,364.84x = 90,401,305,895.63
  5. Step 5: Solve for x
    x = 90,401,305,895.63/412,364.84
  6. Step 6: Final answer
    x = 219,226.51

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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.