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Finding the Fourth Proportional to 295,402.85, 407,653.85 and 161,266.85

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Solution

The fourth proportional to 295,402.85, 407,653.85 and 161,266.85 is: 222,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,402.85 : 407,653.85 = 161,266.85 : x
  2. Step 2: Convert to fraction form
    295,402.85/407,653.85 = 161,266.85/x
  3. Step 3: Cross multiply
    295,402.85x = 407,653.85 × 161,266.85
  4. Step 4: Simplify right side
    295,402.85x = 65,741,052,279.87
  5. Step 5: Solve for x
    x = 65,741,052,279.87/295,402.85
  6. Step 6: Final answer
    x = 222,547.12

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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.