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Finding the Fourth Proportional to 288,349.86, 397,923.66 and 161,030.28

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Solution

The fourth proportional to 288,349.86, 397,923.66 and 161,030.28 is: 222,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,349.86 : 397,923.66 = 161,030.28 : x
  2. Step 2: Convert to fraction form
    288,349.86/397,923.66 = 161,030.28/x
  3. Step 3: Cross multiply
    288,349.86x = 397,923.66 × 161,030.28
  4. Step 4: Simplify right side
    288,349.86x = 64,077,758,388.42
  5. Step 5: Solve for x
    x = 64,077,758,388.42/288,349.86
  6. Step 6: Final answer
    x = 222,222.26

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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.