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Finding the Fourth Proportional to 652,238.10, 978,357.15 and 413,089.65

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Solution

The fourth proportional to 652,238.10, 978,357.15 and 413,089.65 is: 619,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,238.10 : 978,357.15 = 413,089.65 : x
  2. Step 2: Convert to fraction form
    652,238.10/978,357.15 = 413,089.65/x
  3. Step 3: Cross multiply
    652,238.10x = 978,357.15 × 413,089.65
  4. Step 4: Simplify right side
    652,238.10x = 404,149,212,668.50
  5. Step 5: Solve for x
    x = 404,149,212,668.50/652,238.10
  6. Step 6: Final answer
    x = 619,634.48

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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.