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Finding the Fourth Proportional to 652,805.92, 978,421.44 and 337,090.72

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Solution

The fourth proportional to 652,805.92, 978,421.44 and 337,090.72 is: 505,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,805.92 : 978,421.44 = 337,090.72 : x
  2. Step 2: Convert to fraction form
    652,805.92/978,421.44 = 337,090.72/x
  3. Step 3: Cross multiply
    652,805.92x = 978,421.44 × 337,090.72
  4. Step 4: Simplify right side
    652,805.92x = 329,816,787,673.04
  5. Step 5: Solve for x
    x = 329,816,787,673.04/652,805.92
  6. Step 6: Final answer
    x = 505,229.47

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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.