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Finding the Fourth Proportional to 446,956.92, 670,456 and 147,463.64

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Solution

The fourth proportional to 446,956.92, 670,456 and 147,463.64 is: 221,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,956.92 : 670,456 = 147,463.64 : x
  2. Step 2: Convert to fraction form
    446,956.92/670,456 = 147,463.64/x
  3. Step 3: Cross multiply
    446,956.92x = 670,456 × 147,463.64
  4. Step 4: Simplify right side
    446,956.92x = 98,867,882,219.84
  5. Step 5: Solve for x
    x = 98,867,882,219.84/446,956.92
  6. Step 6: Final answer
    x = 221,202.26

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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.