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Finding the Fourth Proportional to 446,469, 616,138.34 and 242,519.86

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Solution

The fourth proportional to 446,469, 616,138.34 and 242,519.86 is: 334,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,469 : 616,138.34 = 242,519.86 : x
  2. Step 2: Convert to fraction form
    446,469/616,138.34 = 242,519.86/x
  3. Step 3: Cross multiply
    446,469x = 616,138.34 × 242,519.86
  4. Step 4: Simplify right side
    446,469x = 149,425,783,957.43
  5. Step 5: Solve for x
    x = 149,425,783,957.43/446,469
  6. Step 6: Final answer
    x = 334,683.45

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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.