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Finding the Fourth Proportional to 296,757.33, 409,471.17 and 165,937.32

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Solution

The fourth proportional to 296,757.33, 409,471.17 and 165,937.32 is: 228,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,757.33 : 409,471.17 = 165,937.32 : x
  2. Step 2: Convert to fraction form
    296,757.33/409,471.17 = 165,937.32/x
  3. Step 3: Cross multiply
    296,757.33x = 409,471.17 × 165,937.32
  4. Step 4: Simplify right side
    296,757.33x = 67,946,548,567.06
  5. Step 5: Solve for x
    x = 67,946,548,567.06/296,757.33
  6. Step 6: Final answer
    x = 228,963.34

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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.