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Finding the Fourth Proportional to 296,475.78, 444,796.14 and 96,808.14

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Solution

The fourth proportional to 296,475.78, 444,796.14 and 96,808.14 is: 145,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,475.78 : 444,796.14 = 96,808.14 : x
  2. Step 2: Convert to fraction form
    296,475.78/444,796.14 = 96,808.14/x
  3. Step 3: Cross multiply
    296,475.78x = 444,796.14 × 96,808.14
  4. Step 4: Simplify right side
    296,475.78x = 43,059,886,992.58
  5. Step 5: Solve for x
    x = 43,059,886,992.58/296,475.78
  6. Step 6: Final answer
    x = 145,239.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.