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Finding the Fourth Proportional to 420,652.80, 630,979.20 and 254,764.80

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Solution

The fourth proportional to 420,652.80, 630,979.20 and 254,764.80 is: 382,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,652.80 : 630,979.20 = 254,764.80 : x
  2. Step 2: Convert to fraction form
    420,652.80/630,979.20 = 254,764.80/x
  3. Step 3: Cross multiply
    420,652.80x = 630,979.20 × 254,764.80
  4. Step 4: Simplify right side
    420,652.80x = 160,751,289,692.16
  5. Step 5: Solve for x
    x = 160,751,289,692.16/420,652.80
  6. Step 6: Final answer
    x = 382,147.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.