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Finding the Fourth Proportional to 297,508.64, 410,280.44 and 195,353.86

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Solution

The fourth proportional to 297,508.64, 410,280.44 and 195,353.86 is: 269,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,508.64 : 410,280.44 = 195,353.86 : x
  2. Step 2: Convert to fraction form
    297,508.64/410,280.44 = 195,353.86/x
  3. Step 3: Cross multiply
    297,508.64x = 410,280.44 × 195,353.86
  4. Step 4: Simplify right side
    297,508.64x = 80,149,867,636.50
  5. Step 5: Solve for x
    x = 80,149,867,636.50/297,508.64
  6. Step 6: Final answer
    x = 269,403.50

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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.