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Finding the Fourth Proportional to 296,709, 445,119.30 and 119,230.08

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Solution

The fourth proportional to 296,709, 445,119.30 and 119,230.08 is: 178,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,709 : 445,119.30 = 119,230.08 : x
  2. Step 2: Convert to fraction form
    296,709/445,119.30 = 119,230.08/x
  3. Step 3: Cross multiply
    296,709x = 445,119.30 × 119,230.08
  4. Step 4: Simplify right side
    296,709x = 53,071,609,748.54
  5. Step 5: Solve for x
    x = 53,071,609,748.54/296,709
  6. Step 6: Final answer
    x = 178,867.54

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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.