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Finding the Fourth Proportional to 501,003.34, 691,413.16 and 297,174.94

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Solution

The fourth proportional to 501,003.34, 691,413.16 and 297,174.94 is: 410,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,003.34 : 691,413.16 = 297,174.94 : x
  2. Step 2: Convert to fraction form
    501,003.34/691,413.16 = 297,174.94/x
  3. Step 3: Cross multiply
    501,003.34x = 691,413.16 × 297,174.94
  4. Step 4: Simplify right side
    501,003.34x = 205,470,660,881.15
  5. Step 5: Solve for x
    x = 205,470,660,881.15/501,003.34
  6. Step 6: Final answer
    x = 410,118.35

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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.