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Finding the Fourth Proportional to 296,860, 409,667.76 and 160,896.16

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Solution

The fourth proportional to 296,860, 409,667.76 and 160,896.16 is: 222,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,860 : 409,667.76 = 160,896.16 : x
  2. Step 2: Convert to fraction form
    296,860/409,667.76 = 160,896.16/x
  3. Step 3: Cross multiply
    296,860x = 409,667.76 × 160,896.16
  4. Step 4: Simplify right side
    296,860x = 65,913,969,459.80
  5. Step 5: Solve for x
    x = 65,913,969,459.80/296,860
  6. Step 6: Final answer
    x = 222,037.22

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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.