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Finding the Fourth Proportional to 652,548.41, 978,705.96 and 415,186.01

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Solution

The fourth proportional to 652,548.41, 978,705.96 and 415,186.01 is: 622,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,548.41 : 978,705.96 = 415,186.01 : x
  2. Step 2: Convert to fraction form
    652,548.41/978,705.96 = 415,186.01/x
  3. Step 3: Cross multiply
    652,548.41x = 978,705.96 × 415,186.01
  4. Step 4: Simplify right side
    652,548.41x = 406,345,022,495.62
  5. Step 5: Solve for x
    x = 406,345,022,495.62/652,548.41
  6. Step 6: Final answer
    x = 622,704.79

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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.