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Finding the Fourth Proportional to 296,429.96, 409,072.50 and 162,293

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Solution

The fourth proportional to 296,429.96, 409,072.50 and 162,293 is: 223,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,429.96 : 409,072.50 = 162,293 : x
  2. Step 2: Convert to fraction form
    296,429.96/409,072.50 = 162,293/x
  3. Step 3: Cross multiply
    296,429.96x = 409,072.50 × 162,293
  4. Step 4: Simplify right side
    296,429.96x = 66,389,603,242.50
  5. Step 5: Solve for x
    x = 66,389,603,242.50/296,429.96
  6. Step 6: Final answer
    x = 223,963.88

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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.