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Finding the Fourth Proportional to 650,728.35, 976,063.76 and 177,413.76

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Solution

The fourth proportional to 650,728.35, 976,063.76 and 177,413.76 is: 266,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,728.35 : 976,063.76 = 177,413.76 : x
  2. Step 2: Convert to fraction form
    650,728.35/976,063.76 = 177,413.76/x
  3. Step 3: Cross multiply
    650,728.35x = 976,063.76 × 177,413.76
  4. Step 4: Simplify right side
    650,728.35x = 173,167,140,774.27
  5. Step 5: Solve for x
    x = 173,167,140,774.27/650,728.35
  6. Step 6: Final answer
    x = 266,112.80

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