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Finding the Fourth Proportional to 446,713.34, 616,214.94 and 274,511.80

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Solution

The fourth proportional to 446,713.34, 616,214.94 and 274,511.80 is: 378,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,713.34 : 616,214.94 = 274,511.80 : x
  2. Step 2: Convert to fraction form
    446,713.34/616,214.94 = 274,511.80/x
  3. Step 3: Cross multiply
    446,713.34x = 616,214.94 × 274,511.80
  4. Step 4: Simplify right side
    446,713.34x = 169,158,269,285.22
  5. Step 5: Solve for x
    x = 169,158,269,285.22/446,713.34
  6. Step 6: Final answer
    x = 378,672.97

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1.5x scale

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.