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Finding the Fourth Proportional to 434,424.80, 651,637.20 and 419,909.60

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Solution

The fourth proportional to 434,424.80, 651,637.20 and 419,909.60 is: 629,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,424.80 : 651,637.20 = 419,909.60 : x
  2. Step 2: Convert to fraction form
    434,424.80/651,637.20 = 419,909.60/x
  3. Step 3: Cross multiply
    434,424.80x = 651,637.20 × 419,909.60
  4. Step 4: Simplify right side
    434,424.80x = 273,628,715,997.12
  5. Step 5: Solve for x
    x = 273,628,715,997.12/434,424.80
  6. Step 6: Final answer
    x = 629,864.40

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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.