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Finding the Fourth Proportional to 346,336.61, 477,939.60 and 193,377.24

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Solution

The fourth proportional to 346,336.61, 477,939.60 and 193,377.24 is: 266,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,336.61 : 477,939.60 = 193,377.24 : x
  2. Step 2: Convert to fraction form
    346,336.61/477,939.60 = 193,377.24/x
  3. Step 3: Cross multiply
    346,336.61x = 477,939.60 × 193,377.24
  4. Step 4: Simplify right side
    346,336.61x = 92,422,640,734.70
  5. Step 5: Solve for x
    x = 92,422,640,734.70/346,336.61
  6. Step 6: Final answer
    x = 266,857.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.