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Finding the Fourth Proportional to 507,749.40, 761,405.40 and 254,932.20

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Solution

The fourth proportional to 507,749.40, 761,405.40 and 254,932.20 is: 382,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,749.40 : 761,405.40 = 254,932.20 : x
  2. Step 2: Convert to fraction form
    507,749.40/761,405.40 = 254,932.20/x
  3. Step 3: Cross multiply
    507,749.40x = 761,405.40 × 254,932.20
  4. Step 4: Simplify right side
    507,749.40x = 194,106,753,713.88
  5. Step 5: Solve for x
    x = 194,106,753,713.88/507,749.40
  6. Step 6: Final answer
    x = 382,288.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.