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Finding the Fourth Proportional to 978,438.30, 1,467,657.45 and 446,997.30

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Solution

The fourth proportional to 978,438.30, 1,467,657.45 and 446,997.30 is: 670,495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,438.30 : 1,467,657.45 = 446,997.30 : x
  2. Step 2: Convert to fraction form
    978,438.30/1,467,657.45 = 446,997.30/x
  3. Step 3: Cross multiply
    978,438.30x = 1,467,657.45 × 446,997.30
  4. Step 4: Simplify right side
    978,438.30x = 656,038,917,474.89
  5. Step 5: Solve for x
    x = 656,038,917,474.89/978,438.30
  6. Step 6: Final answer
    x = 670,495.95

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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.