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Finding the Fourth Proportional to 296,397, 409,027.88 and 162,261

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Solution

The fourth proportional to 296,397, 409,027.88 and 162,261 is: 223,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,397 : 409,027.88 = 162,261 : x
  2. Step 2: Convert to fraction form
    296,397/409,027.88 = 162,261/x
  3. Step 3: Cross multiply
    296,397x = 409,027.88 × 162,261
  4. Step 4: Simplify right side
    296,397x = 66,369,272,836.68
  5. Step 5: Solve for x
    x = 66,369,272,836.68/296,397
  6. Step 6: Final answer
    x = 223,920.19

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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.