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Finding the Fourth Proportional to 297,330.48, 410,656.61 and 195,809.74

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Solution

The fourth proportional to 297,330.48, 410,656.61 and 195,809.74 is: 270,441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,330.48 : 410,656.61 = 195,809.74 : x
  2. Step 2: Convert to fraction form
    297,330.48/410,656.61 = 195,809.74/x
  3. Step 3: Cross multiply
    297,330.48x = 410,656.61 × 195,809.74
  4. Step 4: Simplify right side
    297,330.48x = 80,410,563,496.26
  5. Step 5: Solve for x
    x = 80,410,563,496.26/297,330.48
  6. Step 6: Final answer
    x = 270,441.71

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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.