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Finding the Fourth Proportional to 301,826.21, 416,486.61 and 241,374.83

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Solution

The fourth proportional to 301,826.21, 416,486.61 and 241,374.83 is: 333,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,826.21 : 416,486.61 = 241,374.83 : x
  2. Step 2: Convert to fraction form
    301,826.21/416,486.61 = 241,374.83/x
  3. Step 3: Cross multiply
    301,826.21x = 416,486.61 × 241,374.83
  4. Step 4: Simplify right side
    301,826.21x = 100,529,382,603.59
  5. Step 5: Solve for x
    x = 100,529,382,603.59/301,826.21
  6. Step 6: Final answer
    x = 333,070.43

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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.