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Finding the Fourth Proportional to 463,087.27, 638,447.83 and 333,917.65

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Solution

The fourth proportional to 463,087.27, 638,447.83 and 333,917.65 is: 460,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,087.27 : 638,447.83 = 333,917.65 : x
  2. Step 2: Convert to fraction form
    463,087.27/638,447.83 = 333,917.65/x
  3. Step 3: Cross multiply
    463,087.27x = 638,447.83 × 333,917.65
  4. Step 4: Simplify right side
    463,087.27x = 213,188,999,041.20
  5. Step 5: Solve for x
    x = 213,188,999,041.20/463,087.27
  6. Step 6: Final answer
    x = 460,364.63

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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.