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Finding the Fourth Proportional to 298,803.17, 412,348.44 and 162,837.15

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Solution

The fourth proportional to 298,803.17, 412,348.44 and 162,837.15 is: 224,715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,803.17 : 412,348.44 = 162,837.15 : x
  2. Step 2: Convert to fraction form
    298,803.17/412,348.44 = 162,837.15/x
  3. Step 3: Cross multiply
    298,803.17x = 412,348.44 × 162,837.15
  4. Step 4: Simplify right side
    298,803.17x = 67,145,644,776.55
  5. Step 5: Solve for x
    x = 67,145,644,776.55/298,803.17
  6. Step 6: Final answer
    x = 224,715.31

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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.