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Finding the Fourth Proportional to 295,360.40, 407,597.92 and 161,224.40

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Solution

The fourth proportional to 295,360.40, 407,597.92 and 161,224.40 is: 222,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,360.40 : 407,597.92 = 161,224.40 : x
  2. Step 2: Convert to fraction form
    295,360.40/407,597.92 = 161,224.40/x
  3. Step 3: Cross multiply
    295,360.40x = 407,597.92 × 161,224.40
  4. Step 4: Simplify right side
    295,360.40x = 65,714,730,093.25
  5. Step 5: Solve for x
    x = 65,714,730,093.25/295,360.40
  6. Step 6: Final answer
    x = 222,489.98

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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.