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Finding the Fourth Proportional to 708,530, 977,771.40 and 406,821.20

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Solution

The fourth proportional to 708,530, 977,771.40 and 406,821.20 is: 561,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,530 : 977,771.40 = 406,821.20 : x
  2. Step 2: Convert to fraction form
    708,530/977,771.40 = 406,821.20/x
  3. Step 3: Cross multiply
    708,530x = 977,771.40 × 406,821.20
  4. Step 4: Simplify right side
    708,530x = 397,778,134,273.68
  5. Step 5: Solve for x
    x = 397,778,134,273.68/708,530
  6. Step 6: Final answer
    x = 561,413.26

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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.