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Finding the Fourth Proportional to 298,881.02, 412,453.10 and 162,914.96

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Solution

The fourth proportional to 298,881.02, 412,453.10 and 162,914.96 is: 224,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,881.02 : 412,453.10 = 162,914.96 : x
  2. Step 2: Convert to fraction form
    298,881.02/412,453.10 = 162,914.96/x
  3. Step 3: Cross multiply
    298,881.02x = 412,453.10 × 162,914.96
  4. Step 4: Simplify right side
    298,881.02x = 67,194,777,411.54
  5. Step 5: Solve for x
    x = 67,194,777,411.54/298,881.02
  6. Step 6: Final answer
    x = 224,821.16

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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.