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Finding the Fourth Proportional to 507,216.50, 699,953.76 and 274,642.34

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Solution

The fourth proportional to 507,216.50, 699,953.76 and 274,642.34 is: 379,003.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,216.50 : 699,953.76 = 274,642.34 : x
  2. Step 2: Convert to fraction form
    507,216.50/699,953.76 = 274,642.34/x
  3. Step 3: Cross multiply
    507,216.50x = 699,953.76 × 274,642.34
  4. Step 4: Simplify right side
    507,216.50x = 192,236,938,538.20
  5. Step 5: Solve for x
    x = 192,236,938,538.20/507,216.50
  6. Step 6: Final answer
    x = 379,003.72

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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.