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Finding the Fourth Proportional to 297,688.50, 410,814.45 and 161,724.87

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Solution

The fourth proportional to 297,688.50, 410,814.45 and 161,724.87 is: 223,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,688.50 : 410,814.45 = 161,724.87 : x
  2. Step 2: Convert to fraction form
    297,688.50/410,814.45 = 161,724.87/x
  3. Step 3: Cross multiply
    297,688.50x = 410,814.45 × 161,724.87
  4. Step 4: Simplify right side
    297,688.50x = 66,438,913,520.37
  5. Step 5: Solve for x
    x = 66,438,913,520.37/297,688.50
  6. Step 6: Final answer
    x = 223,182.67

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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.