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Finding the Fourth Proportional to 296,633.49, 409,350.96 and 160,664.06

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Solution

The fourth proportional to 296,633.49, 409,350.96 and 160,664.06 is: 221,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,633.49 : 409,350.96 = 160,664.06 : x
  2. Step 2: Convert to fraction form
    296,633.49/409,350.96 = 160,664.06/x
  3. Step 3: Cross multiply
    296,633.49x = 409,350.96 × 160,664.06
  4. Step 4: Simplify right side
    296,633.49x = 65,767,987,198.50
  5. Step 5: Solve for x
    x = 65,767,987,198.50/296,633.49
  6. Step 6: Final answer
    x = 221,714.64

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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.