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Finding the Fourth Proportional to 301,000.50, 415,445.49 and 180,168.75

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Solution

The fourth proportional to 301,000.50, 415,445.49 and 180,168.75 is: 248,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,000.50 : 415,445.49 = 180,168.75 : x
  2. Step 2: Convert to fraction form
    301,000.50/415,445.49 = 180,168.75/x
  3. Step 3: Cross multiply
    301,000.50x = 415,445.49 × 180,168.75
  4. Step 4: Simplify right side
    301,000.50x = 74,850,294,626.44
  5. Step 5: Solve for x
    x = 74,850,294,626.44/301,000.50
  6. Step 6: Final answer
    x = 248,671.66

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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.