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Finding the Fourth Proportional to 410,321.40, 614,867.70 and 347,652.60

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Solution

The fourth proportional to 410,321.40, 614,867.70 and 347,652.60 is: 520,958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,321.40 : 614,867.70 = 347,652.60 : x
  2. Step 2: Convert to fraction form
    410,321.40/614,867.70 = 347,652.60/x
  3. Step 3: Cross multiply
    410,321.40x = 614,867.70 × 347,652.60
  4. Step 4: Simplify right side
    410,321.40x = 213,760,354,561.02
  5. Step 5: Solve for x
    x = 213,760,354,561.02/410,321.40
  6. Step 6: Final answer
    x = 520,958.34

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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.