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Finding the Fourth Proportional to 652,584.16, 978,296.40 and 231,804.64

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Solution

The fourth proportional to 652,584.16, 978,296.40 and 231,804.64 is: 347,500.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,584.16 : 978,296.40 = 231,804.64 : x
  2. Step 2: Convert to fraction form
    652,584.16/978,296.40 = 231,804.64/x
  3. Step 3: Cross multiply
    652,584.16x = 978,296.40 × 231,804.64
  4. Step 4: Simplify right side
    652,584.16x = 226,773,644,815.30
  5. Step 5: Solve for x
    x = 226,773,644,815.30/652,584.16
  6. Step 6: Final answer
    x = 347,500.99

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Why These Related Problems?

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