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Finding the Fourth Proportional to 289,118.72, 399,014.16 and 161,825.60

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Solution

The fourth proportional to 289,118.72, 399,014.16 and 161,825.60 is: 223,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,118.72 : 399,014.16 = 161,825.60 : x
  2. Step 2: Convert to fraction form
    289,118.72/399,014.16 = 161,825.60/x
  3. Step 3: Cross multiply
    289,118.72x = 399,014.16 × 161,825.60
  4. Step 4: Simplify right side
    289,118.72x = 64,570,705,850.50
  5. Step 5: Solve for x
    x = 64,570,705,850.50/289,118.72
  6. Step 6: Final answer
    x = 223,336.30

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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.