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Finding the Fourth Proportional to 471,032.40, 706,548.60 and 419,422.80

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Solution

The fourth proportional to 471,032.40, 706,548.60 and 419,422.80 is: 629,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,032.40 : 706,548.60 = 419,422.80 : x
  2. Step 2: Convert to fraction form
    471,032.40/706,548.60 = 419,422.80/x
  3. Step 3: Cross multiply
    471,032.40x = 706,548.60 × 419,422.80
  4. Step 4: Simplify right side
    471,032.40x = 296,342,592,148.08
  5. Step 5: Solve for x
    x = 296,342,592,148.08/471,032.40
  6. Step 6: Final answer
    x = 629,134.20

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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.