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Finding the Fourth Proportional to 369,181.96, 509,471.12 and 199,416.09

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Solution

The fourth proportional to 369,181.96, 509,471.12 and 199,416.09 is: 275,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,181.96 : 509,471.12 = 199,416.09 : x
  2. Step 2: Convert to fraction form
    369,181.96/509,471.12 = 199,416.09/x
  3. Step 3: Cross multiply
    369,181.96x = 509,471.12 × 199,416.09
  4. Step 4: Simplify right side
    369,181.96x = 101,596,738,718.32
  5. Step 5: Solve for x
    x = 101,596,738,718.32/369,181.96
  6. Step 6: Final answer
    x = 275,194.21

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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.