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Finding the Fourth Proportional to 652,175.24, 978,329.96 and 225,710.31

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Solution

The fourth proportional to 652,175.24, 978,329.96 and 225,710.31 is: 338,588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,175.24 : 978,329.96 = 225,710.31 : x
  2. Step 2: Convert to fraction form
    652,175.24/978,329.96 = 225,710.31/x
  3. Step 3: Cross multiply
    652,175.24x = 978,329.96 × 225,710.31
  4. Step 4: Simplify right side
    652,175.24x = 220,819,158,271.75
  5. Step 5: Solve for x
    x = 220,819,158,271.75/652,175.24
  6. Step 6: Final answer
    x = 338,588.69

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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.