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Finding the Fourth Proportional to 461,777.40, 691,353.90 and 414,538.20

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Solution

The fourth proportional to 461,777.40, 691,353.90 and 414,538.20 is: 620,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,777.40 : 691,353.90 = 414,538.20 : x
  2. Step 2: Convert to fraction form
    461,777.40/691,353.90 = 414,538.20/x
  3. Step 3: Cross multiply
    461,777.40x = 691,353.90 × 414,538.20
  4. Step 4: Simplify right side
    461,777.40x = 286,592,601,268.98
  5. Step 5: Solve for x
    x = 286,592,601,268.98/461,777.40
  6. Step 6: Final answer
    x = 620,629.34

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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.