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Finding the Fourth Proportional to 652,243.25, 978,355.71 and 226,089.29

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Solution

The fourth proportional to 652,243.25, 978,355.71 and 226,089.29 is: 339,130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,243.25 : 978,355.71 = 226,089.29 : x
  2. Step 2: Convert to fraction form
    652,243.25/978,355.71 = 226,089.29/x
  3. Step 3: Cross multiply
    652,243.25x = 978,355.71 × 226,089.29
  4. Step 4: Simplify right side
    652,243.25x = 221,195,742,949.57
  5. Step 5: Solve for x
    x = 221,195,742,949.57/652,243.25
  6. Step 6: Final answer
    x = 339,130.75

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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.