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Finding the Fourth Proportional to 483,794.84, 725,694.57 and 146,838.42

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Solution

The fourth proportional to 483,794.84, 725,694.57 and 146,838.42 is: 220,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,794.84 : 725,694.57 = 146,838.42 : x
  2. Step 2: Convert to fraction form
    483,794.84/725,694.57 = 146,838.42/x
  3. Step 3: Cross multiply
    483,794.84x = 725,694.57 × 146,838.42
  4. Step 4: Simplify right side
    483,794.84x = 106,559,844,061.38
  5. Step 5: Solve for x
    x = 106,559,844,061.38/483,794.84
  6. Step 6: Final answer
    x = 220,258.33

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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.