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Finding the Fourth Proportional to 296,639.65, 444,959.20 and 119,146.69

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Solution

The fourth proportional to 296,639.65, 444,959.20 and 119,146.69 is: 178,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,639.65 : 444,959.20 = 119,146.69 : x
  2. Step 2: Convert to fraction form
    296,639.65/444,959.20 = 119,146.69/x
  3. Step 3: Cross multiply
    296,639.65x = 444,959.20 × 119,146.69
  4. Step 4: Simplify right side
    296,639.65x = 53,015,415,269.31
  5. Step 5: Solve for x
    x = 53,015,415,269.31/296,639.65
  6. Step 6: Final answer
    x = 178,719.92

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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.