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Finding the Fourth Proportional to 298,821.45, 412,361.48 and 162,852.53

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Solution

The fourth proportional to 298,821.45, 412,361.48 and 162,852.53 is: 224,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,821.45 : 412,361.48 = 162,852.53 : x
  2. Step 2: Convert to fraction form
    298,821.45/412,361.48 = 162,852.53/x
  3. Step 3: Cross multiply
    298,821.45x = 412,361.48 × 162,852.53
  4. Step 4: Simplify right side
    298,821.45x = 67,154,108,637.87
  5. Step 5: Solve for x
    x = 67,154,108,637.87/298,821.45
  6. Step 6: Final answer
    x = 224,729.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.