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Finding the Fourth Proportional to 652,097.80, 978,438.30 and 231,675.40

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Solution

The fourth proportional to 652,097.80, 978,438.30 and 231,675.40 is: 347,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,097.80 : 978,438.30 = 231,675.40 : x
  2. Step 2: Convert to fraction form
    652,097.80/978,438.30 = 231,675.40/x
  3. Step 3: Cross multiply
    652,097.80x = 978,438.30 × 231,675.40
  4. Step 4: Simplify right side
    652,097.80x = 226,680,084,527.82
  5. Step 5: Solve for x
    x = 226,680,084,527.82/652,097.80
  6. Step 6: Final answer
    x = 347,616.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.