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Finding the Fourth Proportional to 463,203.93, 638,713.81 and 301,759.59

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Solution

The fourth proportional to 463,203.93, 638,713.81 and 301,759.59 is: 416,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,203.93 : 638,713.81 = 301,759.59 : x
  2. Step 2: Convert to fraction form
    463,203.93/638,713.81 = 301,759.59/x
  3. Step 3: Cross multiply
    463,203.93x = 638,713.81 × 301,759.59
  4. Step 4: Simplify right side
    463,203.93x = 192,738,014,239.37
  5. Step 5: Solve for x
    x = 192,738,014,239.37/463,203.93
  6. Step 6: Final answer
    x = 416,097.54

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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.