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Finding the Fourth Proportional to 652,317.84, 978,467.04 and 226,164.24

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Solution

The fourth proportional to 652,317.84, 978,467.04 and 226,164.24 is: 339,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,317.84 : 978,467.04 = 226,164.24 : x
  2. Step 2: Convert to fraction form
    652,317.84/978,467.04 = 226,164.24/x
  3. Step 3: Cross multiply
    652,317.84x = 978,467.04 × 226,164.24
  4. Step 4: Simplify right side
    652,317.84x = 221,294,254,466.65
  5. Step 5: Solve for x
    x = 221,294,254,466.65/652,317.84
  6. Step 6: Final answer
    x = 339,242.99

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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.