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Finding the Fourth Proportional to 446,416.96, 616,059.92 and 242,469.84

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Solution

The fourth proportional to 446,416.96, 616,059.92 and 242,469.84 is: 334,610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,416.96 : 616,059.92 = 242,469.84 : x
  2. Step 2: Convert to fraction form
    446,416.96/616,059.92 = 242,469.84/x
  3. Step 3: Cross multiply
    446,416.96x = 616,059.92 × 242,469.84
  4. Step 4: Simplify right side
    446,416.96x = 149,375,950,232.81
  5. Step 5: Solve for x
    x = 149,375,950,232.81/446,416.96
  6. Step 6: Final answer
    x = 334,610.83

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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.