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Finding the Fourth Proportional to 483,381.90, 725,109.76 and 146,450.46

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Solution

The fourth proportional to 483,381.90, 725,109.76 and 146,450.46 is: 219,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,381.90 : 725,109.76 = 146,450.46 : x
  2. Step 2: Convert to fraction form
    483,381.90/725,109.76 = 146,450.46/x
  3. Step 3: Cross multiply
    483,381.90x = 725,109.76 × 146,450.46
  4. Step 4: Simplify right side
    483,381.90x = 106,192,657,902.49
  5. Step 5: Solve for x
    x = 106,192,657,902.49/483,381.90
  6. Step 6: Final answer
    x = 219,686.87

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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.