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Finding the Fourth Proportional to 411,256.80, 616,885.20 and 285,285.60

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Solution

The fourth proportional to 411,256.80, 616,885.20 and 285,285.60 is: 427,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,256.80 : 616,885.20 = 285,285.60 : x
  2. Step 2: Convert to fraction form
    411,256.80/616,885.20 = 285,285.60/x
  3. Step 3: Cross multiply
    411,256.80x = 616,885.20 × 285,285.60
  4. Step 4: Simplify right side
    411,256.80x = 175,988,464,413.12
  5. Step 5: Solve for x
    x = 175,988,464,413.12/411,256.80
  6. Step 6: Final answer
    x = 427,928.40

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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.