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Finding the Fourth Proportional to 295,500.32, 407,798.80 and 161,372.96

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Solution

The fourth proportional to 295,500.32, 407,798.80 and 161,372.96 is: 222,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,500.32 : 407,798.80 = 161,372.96 : x
  2. Step 2: Convert to fraction form
    295,500.32/407,798.80 = 161,372.96/x
  3. Step 3: Cross multiply
    295,500.32x = 407,798.80 × 161,372.96
  4. Step 4: Simplify right side
    295,500.32x = 65,807,699,440.45
  5. Step 5: Solve for x
    x = 65,807,699,440.45/295,500.32
  6. Step 6: Final answer
    x = 222,699.25

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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.