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Finding the Fourth Proportional to 299,432.92, 413,288.60 and 192,256.96

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Solution

The fourth proportional to 299,432.92, 413,288.60 and 192,256.96 is: 265,360.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,432.92 : 413,288.60 = 192,256.96 : x
  2. Step 2: Convert to fraction form
    299,432.92/413,288.60 = 192,256.96/x
  3. Step 3: Cross multiply
    299,432.92x = 413,288.60 × 192,256.96
  4. Step 4: Simplify right side
    299,432.92x = 79,457,609,838.66
  5. Step 5: Solve for x
    x = 79,457,609,838.66/299,432.92
  6. Step 6: Final answer
    x = 265,360.30

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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.