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Finding the Fourth Proportional to 296,727, 409,483.26 and 162,588.12

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Solution

The fourth proportional to 296,727, 409,483.26 and 162,588.12 is: 224,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,727 : 409,483.26 = 162,588.12 : x
  2. Step 2: Convert to fraction form
    296,727/409,483.26 = 162,588.12/x
  3. Step 3: Cross multiply
    296,727x = 409,483.26 × 162,588.12
  4. Step 4: Simplify right side
    296,727x = 66,577,113,414.87
  5. Step 5: Solve for x
    x = 66,577,113,414.87/296,727
  6. Step 6: Final answer
    x = 224,371.61

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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.