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Finding the Fourth Proportional to 446,414.96, 616,057.16 and 242,467.84

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Solution

The fourth proportional to 446,414.96, 616,057.16 and 242,467.84 is: 334,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,414.96 : 616,057.16 = 242,467.84 : x
  2. Step 2: Convert to fraction form
    446,414.96/616,057.16 = 242,467.84/x
  3. Step 3: Cross multiply
    446,414.96x = 616,057.16 × 242,467.84
  4. Step 4: Simplify right side
    446,414.96x = 149,374,048,901.73
  5. Step 5: Solve for x
    x = 149,374,048,901.73/446,414.96
  6. Step 6: Final answer
    x = 334,608.07

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