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Finding the Fourth Proportional to 294,097.92, 441,188.19 and 116,622.87

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Solution

The fourth proportional to 294,097.92, 441,188.19 and 116,622.87 is: 174,950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,097.92 : 441,188.19 = 116,622.87 : x
  2. Step 2: Convert to fraction form
    294,097.92/441,188.19 = 116,622.87/x
  3. Step 3: Cross multiply
    294,097.92x = 441,188.19 × 116,622.87
  4. Step 4: Simplify right side
    294,097.92x = 51,452,632,927.91
  5. Step 5: Solve for x
    x = 51,452,632,927.91/294,097.92
  6. Step 6: Final answer
    x = 174,950.69

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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.