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Finding the Fourth Proportional to 288,034.67, 397,559 and 174,952.19

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Solution

The fourth proportional to 288,034.67, 397,559 and 174,952.19 is: 241,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,034.67 : 397,559 = 174,952.19 : x
  2. Step 2: Convert to fraction form
    288,034.67/397,559 = 174,952.19/x
  3. Step 3: Cross multiply
    288,034.67x = 397,559 × 174,952.19
  4. Step 4: Simplify right side
    288,034.67x = 69,553,817,704.21
  5. Step 5: Solve for x
    x = 69,553,817,704.21/288,034.67
  6. Step 6: Final answer
    x = 241,477.24

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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.