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Finding the Fourth Proportional to 298,586.93, 412,052.60 and 162,621.47

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Solution

The fourth proportional to 298,586.93, 412,052.60 and 162,621.47 is: 224,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,586.93 : 412,052.60 = 162,621.47 : x
  2. Step 2: Convert to fraction form
    298,586.93/412,052.60 = 162,621.47/x
  3. Step 3: Cross multiply
    298,586.93x = 412,052.60 × 162,621.47
  4. Step 4: Simplify right side
    298,586.93x = 67,008,599,529.32
  5. Step 5: Solve for x
    x = 67,008,599,529.32/298,586.93
  6. Step 6: Final answer
    x = 224,419.06

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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.