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Finding the Fourth Proportional to 298,738.48, 412,253.89 and 162,773.55

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Solution

The fourth proportional to 298,738.48, 412,253.89 and 162,773.55 is: 224,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,738.48 : 412,253.89 = 162,773.55 : x
  2. Step 2: Convert to fraction form
    298,738.48/412,253.89 = 162,773.55/x
  3. Step 3: Cross multiply
    298,738.48x = 412,253.89 × 162,773.55
  4. Step 4: Simplify right side
    298,738.48x = 67,104,028,362.74
  5. Step 5: Solve for x
    x = 67,104,028,362.74/298,738.48
  6. Step 6: Final answer
    x = 224,624.66

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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.