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Finding the Fourth Proportional to 295,407.72, 407,660.57 and 161,271.72

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Solution

The fourth proportional to 295,407.72, 407,660.57 and 161,271.72 is: 222,553.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,407.72 : 407,660.57 = 161,271.72 : x
  2. Step 2: Convert to fraction form
    295,407.72/407,660.57 = 161,271.72/x
  3. Step 3: Cross multiply
    295,407.72x = 407,660.57 × 161,271.72
  4. Step 4: Simplify right side
    295,407.72x = 65,744,121,300.08
  5. Step 5: Solve for x
    x = 65,744,121,300.08/295,407.72
  6. Step 6: Final answer
    x = 222,553.84

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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.