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Finding the Fourth Proportional to 416,035.20, 624,052.80 and 409,814.40

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Solution

The fourth proportional to 416,035.20, 624,052.80 and 409,814.40 is: 614,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,035.20 : 624,052.80 = 409,814.40 : x
  2. Step 2: Convert to fraction form
    416,035.20/624,052.80 = 409,814.40/x
  3. Step 3: Cross multiply
    416,035.20x = 624,052.80 × 409,814.40
  4. Step 4: Simplify right side
    416,035.20x = 255,745,823,800.32
  5. Step 5: Solve for x
    x = 255,745,823,800.32/416,035.20
  6. Step 6: Final answer
    x = 614,721.60

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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.