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Finding the Fourth Proportional to 483,894.81, 725,795.29 and 146,938.38

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Solution

The fourth proportional to 483,894.81, 725,795.29 and 146,938.38 is: 220,393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,894.81 : 725,795.29 = 146,938.38 : x
  2. Step 2: Convert to fraction form
    483,894.81/725,795.29 = 146,938.38/x
  3. Step 3: Cross multiply
    483,894.81x = 725,795.29 × 146,938.38
  4. Step 4: Simplify right side
    483,894.81x = 106,647,182,800.94
  5. Step 5: Solve for x
    x = 106,647,182,800.94/483,894.81
  6. Step 6: Final answer
    x = 220,393.32

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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.