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Finding the Fourth Proportional to 411,413.80, 567,803.56 and 230,135.80

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Solution

The fourth proportional to 411,413.80, 567,803.56 and 230,135.80 is: 317,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,413.80 : 567,803.56 = 230,135.80 : x
  2. Step 2: Convert to fraction form
    411,413.80/567,803.56 = 230,135.80/x
  3. Step 3: Cross multiply
    411,413.80x = 567,803.56 × 230,135.80
  4. Step 4: Simplify right side
    411,413.80x = 130,671,925,391.61
  5. Step 5: Solve for x
    x = 130,671,925,391.61/411,413.80
  6. Step 6: Final answer
    x = 317,616.78

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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.