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Finding the Fourth Proportional to 446,391.74, 616,025.05 and 242,446.64

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Solution

The fourth proportional to 446,391.74, 616,025.05 and 242,446.64 is: 334,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,391.74 : 616,025.05 = 242,446.64 : x
  2. Step 2: Convert to fraction form
    446,391.74/616,025.05 = 242,446.64/x
  3. Step 3: Cross multiply
    446,391.74x = 616,025.05 × 242,446.64
  4. Step 4: Simplify right side
    446,391.74x = 149,353,205,039.80
  5. Step 5: Solve for x
    x = 149,353,205,039.80/446,391.74
  6. Step 6: Final answer
    x = 334,578.78

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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.