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Finding the Fourth Proportional to 297,688.30, 410,812.74 and 161,723.32

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Solution

The fourth proportional to 297,688.30, 410,812.74 and 161,723.32 is: 223,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,688.30 : 410,812.74 = 161,723.32 : x
  2. Step 2: Convert to fraction form
    297,688.30/410,812.74 = 161,723.32/x
  3. Step 3: Cross multiply
    297,688.30x = 410,812.74 × 161,723.32
  4. Step 4: Simplify right side
    297,688.30x = 66,437,999,184.07
  5. Step 5: Solve for x
    x = 66,437,999,184.07/297,688.30
  6. Step 6: Final answer
    x = 223,179.75

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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.