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Finding the Fourth Proportional to 294,774.38, 442,255.02 and 105,230.68

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Solution

The fourth proportional to 294,774.38, 442,255.02 and 105,230.68 is: 157,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,774.38 : 442,255.02 = 105,230.68 : x
  2. Step 2: Convert to fraction form
    294,774.38/442,255.02 = 105,230.68/x
  3. Step 3: Cross multiply
    294,774.38x = 442,255.02 × 105,230.68
  4. Step 4: Simplify right side
    294,774.38x = 46,538,796,488.01
  5. Step 5: Solve for x
    x = 46,538,796,488.01/294,774.38
  6. Step 6: Final answer
    x = 157,879.38

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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.