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Finding the Fourth Proportional to 296,866.08, 409,674.24 and 160,900.56

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Solution

The fourth proportional to 296,866.08, 409,674.24 and 160,900.56 is: 222,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,866.08 : 409,674.24 = 160,900.56 : x
  2. Step 2: Convert to fraction form
    296,866.08/409,674.24 = 160,900.56/x
  3. Step 3: Cross multiply
    296,866.08x = 409,674.24 × 160,900.56
  4. Step 4: Simplify right side
    296,866.08x = 65,916,814,633.57
  5. Step 5: Solve for x
    x = 65,916,814,633.57/296,866.08
  6. Step 6: Final answer
    x = 222,042.26

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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.