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Finding the Fourth Proportional to 540,670.94, 746,093.84 and 298,934.54

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Solution

The fourth proportional to 540,670.94, 746,093.84 and 298,934.54 is: 412,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,670.94 : 746,093.84 = 298,934.54 : x
  2. Step 2: Convert to fraction form
    540,670.94/746,093.84 = 298,934.54/x
  3. Step 3: Cross multiply
    540,670.94x = 746,093.84 × 298,934.54
  4. Step 4: Simplify right side
    540,670.94x = 223,033,221,469.81
  5. Step 5: Solve for x
    x = 223,033,221,469.81/540,670.94
  6. Step 6: Final answer
    x = 412,511.94

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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.