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Finding the Fourth Proportional to 296,612.10, 409,325.92 and 160,647.66

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Solution

The fourth proportional to 296,612.10, 409,325.92 and 160,647.66 is: 221,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,612.10 : 409,325.92 = 160,647.66 : x
  2. Step 2: Convert to fraction form
    296,612.10/409,325.92 = 160,647.66/x
  3. Step 3: Cross multiply
    296,612.10x = 409,325.92 × 160,647.66
  4. Step 4: Simplify right side
    296,612.10x = 65,757,251,225.35
  5. Step 5: Solve for x
    x = 65,757,251,225.35/296,612.10
  6. Step 6: Final answer
    x = 221,694.43

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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.