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Finding the Fourth Proportional to 411,413.73, 567,803.48 and 230,135.73

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Solution

The fourth proportional to 411,413.73, 567,803.48 and 230,135.73 is: 317,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,413.73 : 567,803.48 = 230,135.73 : x
  2. Step 2: Convert to fraction form
    411,413.73/567,803.48 = 230,135.73/x
  3. Step 3: Cross multiply
    411,413.73x = 567,803.48 × 230,135.73
  4. Step 4: Simplify right side
    411,413.73x = 130,671,868,366.34
  5. Step 5: Solve for x
    x = 130,671,868,366.34/411,413.73
  6. Step 6: Final answer
    x = 317,616.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.