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Finding the Fourth Proportional to 978,349.20, 1,467,523.80 and 446,908.20

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Solution

The fourth proportional to 978,349.20, 1,467,523.80 and 446,908.20 is: 670,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,349.20 : 1,467,523.80 = 446,908.20 : x
  2. Step 2: Convert to fraction form
    978,349.20/1,467,523.80 = 446,908.20/x
  3. Step 3: Cross multiply
    978,349.20x = 1,467,523.80 × 446,908.20
  4. Step 4: Simplify right side
    978,349.20x = 655,848,419,915.16
  5. Step 5: Solve for x
    x = 655,848,419,915.16/978,349.20
  6. Step 6: Final answer
    x = 670,362.30

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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.