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Finding the Fourth Proportional to 296,398, 409,029.26 and 162,262

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Solution

The fourth proportional to 296,398, 409,029.26 and 162,262 is: 223,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,398 : 409,029.26 = 162,262 : x
  2. Step 2: Convert to fraction form
    296,398/409,029.26 = 162,262/x
  3. Step 3: Cross multiply
    296,398x = 409,029.26 × 162,262
  4. Step 4: Simplify right side
    296,398x = 66,369,905,786.12
  5. Step 5: Solve for x
    x = 66,369,905,786.12/296,398
  6. Step 6: Final answer
    x = 223,921.57

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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.