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Finding the Fourth Proportional to 393,729.78, 543,347.10 and 214,881.78

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Solution

The fourth proportional to 393,729.78, 543,347.10 and 214,881.78 is: 296,536.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,729.78 : 543,347.10 = 214,881.78 : x
  2. Step 2: Convert to fraction form
    393,729.78/543,347.10 = 214,881.78/x
  3. Step 3: Cross multiply
    393,729.78x = 543,347.10 × 214,881.78
  4. Step 4: Simplify right side
    393,729.78x = 116,755,392,005.84
  5. Step 5: Solve for x
    x = 116,755,392,005.84/393,729.78
  6. Step 6: Final answer
    x = 296,536.86

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1.5x scale

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.