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Finding the Fourth Proportional to 295,402.35, 407,653.16 and 161,266.35

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Solution

The fourth proportional to 295,402.35, 407,653.16 and 161,266.35 is: 222,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,402.35 : 407,653.16 = 161,266.35 : x
  2. Step 2: Convert to fraction form
    295,402.35/407,653.16 = 161,266.35/x
  3. Step 3: Cross multiply
    295,402.35x = 407,653.16 × 161,266.35
  4. Step 4: Simplify right side
    295,402.35x = 65,740,735,140.90
  5. Step 5: Solve for x
    x = 65,740,735,140.90/295,402.35
  6. Step 6: Final answer
    x = 222,546.42

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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.