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Finding the Fourth Proportional to 466,413.60, 698,583.60 and 404,205.60

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Solution

The fourth proportional to 466,413.60, 698,583.60 and 404,205.60 is: 605,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,413.60 : 698,583.60 = 404,205.60 : x
  2. Step 2: Convert to fraction form
    466,413.60/698,583.60 = 404,205.60/x
  3. Step 3: Cross multiply
    466,413.60x = 698,583.60 × 404,205.60
  4. Step 4: Simplify right side
    466,413.60x = 282,371,403,188.16
  5. Step 5: Solve for x
    x = 282,371,403,188.16/466,413.60
  6. Step 6: Final answer
    x = 605,409.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.