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Finding the Fourth Proportional to 298,800.37, 412,344.50 and 164,664.37

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Solution

The fourth proportional to 298,800.37, 412,344.50 and 164,664.37 is: 227,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,800.37 : 412,344.50 = 164,664.37 : x
  2. Step 2: Convert to fraction form
    298,800.37/412,344.50 = 164,664.37/x
  3. Step 3: Cross multiply
    298,800.37x = 412,344.50 × 164,664.37
  4. Step 4: Simplify right side
    298,800.37x = 67,898,445,253.74
  5. Step 5: Solve for x
    x = 67,898,445,253.74/298,800.37
  6. Step 6: Final answer
    x = 227,236.82

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1.5x scale

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.