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Finding the Fourth Proportional to 507,137.44, 699,871.54 and 280,782.94

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Solution

The fourth proportional to 507,137.44, 699,871.54 and 280,782.94 is: 387,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,137.44 : 699,871.54 = 280,782.94 : x
  2. Step 2: Convert to fraction form
    507,137.44/699,871.54 = 280,782.94/x
  3. Step 3: Cross multiply
    507,137.44x = 699,871.54 × 280,782.94
  4. Step 4: Simplify right side
    507,137.44x = 196,511,988,623.53
  5. Step 5: Solve for x
    x = 196,511,988,623.53/507,137.44
  6. Step 6: Final answer
    x = 387,492.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.