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Finding the Fourth Proportional to 297,794.76, 410,959.50 and 161,828.76

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Solution

The fourth proportional to 297,794.76, 410,959.50 and 161,828.76 is: 223,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,794.76 : 410,959.50 = 161,828.76 : x
  2. Step 2: Convert to fraction form
    297,794.76/410,959.50 = 161,828.76/x
  3. Step 3: Cross multiply
    297,794.76x = 410,959.50 × 161,828.76
  4. Step 4: Simplify right side
    297,794.76x = 66,505,066,295.22
  5. Step 5: Solve for x
    x = 66,505,066,295.22/297,794.76
  6. Step 6: Final answer
    x = 223,325.17

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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.