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Finding the Fourth Proportional to 297,246.50, 409,887.50 and 229,274.54

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Solution

The fourth proportional to 297,246.50, 409,887.50 and 229,274.54 is: 316,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,246.50 : 409,887.50 = 229,274.54 : x
  2. Step 2: Convert to fraction form
    297,246.50/409,887.50 = 229,274.54/x
  3. Step 3: Cross multiply
    297,246.50x = 409,887.50 × 229,274.54
  4. Step 4: Simplify right side
    297,246.50x = 93,976,768,014.25
  5. Step 5: Solve for x
    x = 93,976,768,014.25/297,246.50
  6. Step 6: Final answer
    x = 316,157.69

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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.