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Finding the Fourth Proportional to 978,596.10, 1,467,967.05 and 347,427.90

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Solution

The fourth proportional to 978,596.10, 1,467,967.05 and 347,427.90 is: 521,167.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,596.10 : 1,467,967.05 = 347,427.90 : x
  2. Step 2: Convert to fraction form
    978,596.10/1,467,967.05 = 347,427.90/x
  3. Step 3: Cross multiply
    978,596.10x = 1,467,967.05 × 347,427.90
  4. Step 4: Simplify right side
    978,596.10x = 510,012,709,450.70
  5. Step 5: Solve for x
    x = 510,012,709,450.70/978,596.10
  6. Step 6: Final answer
    x = 521,167.73

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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.