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Finding the Fourth Proportional to 387,945.56, 535,284.61 and 226,769.42

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Solution

The fourth proportional to 387,945.56, 535,284.61 and 226,769.42 is: 312,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,945.56 : 535,284.61 = 226,769.42 : x
  2. Step 2: Convert to fraction form
    387,945.56/535,284.61 = 226,769.42/x
  3. Step 3: Cross multiply
    387,945.56x = 535,284.61 × 226,769.42
  4. Step 4: Simplify right side
    387,945.56x = 121,386,181,315.91
  5. Step 5: Solve for x
    x = 121,386,181,315.91/387,945.56
  6. Step 6: Final answer
    x = 312,894.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.