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Finding the Fourth Proportional to 534,788.31, 737,975.84 and 293,022.75

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Solution

The fourth proportional to 534,788.31, 737,975.84 and 293,022.75 is: 404,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,788.31 : 737,975.84 = 293,022.75 : x
  2. Step 2: Convert to fraction form
    534,788.31/737,975.84 = 293,022.75/x
  3. Step 3: Cross multiply
    534,788.31x = 737,975.84 × 293,022.75
  4. Step 4: Simplify right side
    534,788.31x = 216,243,708,605.25
  5. Step 5: Solve for x
    x = 216,243,708,605.25/534,788.31
  6. Step 6: Final answer
    x = 404,353.84

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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.