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Finding the Fourth Proportional to 394,838.10, 544,874.96 and 213,550.24

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Solution

The fourth proportional to 394,838.10, 544,874.96 and 213,550.24 is: 294,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,838.10 : 544,874.96 = 213,550.24 : x
  2. Step 2: Convert to fraction form
    394,838.10/544,874.96 = 213,550.24/x
  3. Step 3: Cross multiply
    394,838.10x = 544,874.96 × 213,550.24
  4. Step 4: Simplify right side
    394,838.10x = 116,358,178,477.99
  5. Step 5: Solve for x
    x = 116,358,178,477.99/394,838.10
  6. Step 6: Final answer
    x = 294,698.46

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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.