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Finding the Fourth Proportional to 410,829.60, 616,244.40 and 383,181.60

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Solution

The fourth proportional to 410,829.60, 616,244.40 and 383,181.60 is: 574,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,829.60 : 616,244.40 = 383,181.60 : x
  2. Step 2: Convert to fraction form
    410,829.60/616,244.40 = 383,181.60/x
  3. Step 3: Cross multiply
    410,829.60x = 616,244.40 × 383,181.60
  4. Step 4: Simplify right side
    410,829.60x = 236,133,515,183.04
  5. Step 5: Solve for x
    x = 236,133,515,183.04/410,829.60
  6. Step 6: Final answer
    x = 574,772.40

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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.