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Finding the Fourth Proportional to 295,452, 407,724.84 and 161,316

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Solution

The fourth proportional to 295,452, 407,724.84 and 161,316 is: 222,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,452 : 407,724.84 = 161,316 : x
  2. Step 2: Convert to fraction form
    295,452/407,724.84 = 161,316/x
  3. Step 3: Cross multiply
    295,452x = 407,724.84 × 161,316
  4. Step 4: Simplify right side
    295,452x = 65,772,540,289.44
  5. Step 5: Solve for x
    x = 65,772,540,289.44/295,452
  6. Step 6: Final answer
    x = 222,616.67

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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.