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Finding the Fourth Proportional to 301,778.49, 416,298.16 and 204,987.33

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Solution

The fourth proportional to 301,778.49, 416,298.16 and 204,987.33 is: 282,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,778.49 : 416,298.16 = 204,987.33 : x
  2. Step 2: Convert to fraction form
    301,778.49/416,298.16 = 204,987.33/x
  3. Step 3: Cross multiply
    301,778.49x = 416,298.16 × 204,987.33
  4. Step 4: Simplify right side
    301,778.49x = 85,335,848,302.31
  5. Step 5: Solve for x
    x = 85,335,848,302.31/301,778.49
  6. Step 6: Final answer
    x = 282,776.44

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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.