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Finding the Fourth Proportional to 296,743, 409,505.34 and 162,604.12

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Solution

The fourth proportional to 296,743, 409,505.34 and 162,604.12 is: 224,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,743 : 409,505.34 = 162,604.12 : x
  2. Step 2: Convert to fraction form
    296,743/409,505.34 = 162,604.12/x
  3. Step 3: Cross multiply
    296,743x = 409,505.34 × 162,604.12
  4. Step 4: Simplify right side
    296,743x = 66,587,255,446.00
  5. Step 5: Solve for x
    x = 66,587,255,446.00/296,743
  6. Step 6: Final answer
    x = 224,393.69

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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.