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Finding the Fourth Proportional to 301,194.58, 415,578.74 and 180,289.90

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Solution

The fourth proportional to 301,194.58, 415,578.74 and 180,289.90 is: 248,758.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,194.58 : 415,578.74 = 180,289.90 : x
  2. Step 2: Convert to fraction form
    301,194.58/415,578.74 = 180,289.90/x
  3. Step 3: Cross multiply
    301,194.58x = 415,578.74 × 180,289.90
  4. Step 4: Simplify right side
    301,194.58x = 74,924,649,476.73
  5. Step 5: Solve for x
    x = 74,924,649,476.73/301,194.58
  6. Step 6: Final answer
    x = 248,758.29

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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.