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Finding the Fourth Proportional to 296,842.68, 445,305.96 and 97,179.30

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Solution

The fourth proportional to 296,842.68, 445,305.96 and 97,179.30 is: 145,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,842.68 : 445,305.96 = 97,179.30 : x
  2. Step 2: Convert to fraction form
    296,842.68/445,305.96 = 97,179.30/x
  3. Step 3: Cross multiply
    296,842.68x = 445,305.96 × 97,179.30
  4. Step 4: Simplify right side
    296,842.68x = 43,274,521,478.63
  5. Step 5: Solve for x
    x = 43,274,521,478.63/296,842.68
  6. Step 6: Final answer
    x = 145,782.68

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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.