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Finding the Fourth Proportional to 298,688.14, 412,184.84 and 162,723.74

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Solution

The fourth proportional to 298,688.14, 412,184.84 and 162,723.74 is: 224,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,688.14 : 412,184.84 = 162,723.74 : x
  2. Step 2: Convert to fraction form
    298,688.14/412,184.84 = 162,723.74/x
  3. Step 3: Cross multiply
    298,688.14x = 412,184.84 × 162,723.74
  4. Step 4: Simplify right side
    298,688.14x = 67,072,255,861.56
  5. Step 5: Solve for x
    x = 67,072,255,861.56/298,688.14
  6. Step 6: Final answer
    x = 224,556.14

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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.