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Finding the Fourth Proportional to 296,383, 409,008.54 and 162,247

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Solution

The fourth proportional to 296,383, 409,008.54 and 162,247 is: 223,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,383 : 409,008.54 = 162,247 : x
  2. Step 2: Convert to fraction form
    296,383/409,008.54 = 162,247/x
  3. Step 3: Cross multiply
    296,383x = 409,008.54 × 162,247
  4. Step 4: Simplify right side
    296,383x = 66,360,408,589.38
  5. Step 5: Solve for x
    x = 66,360,408,589.38/296,383
  6. Step 6: Final answer
    x = 223,900.86

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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.