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Finding the Fourth Proportional to 513,413.56, 769,956.54 and 176,372.95

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Solution

The fourth proportional to 513,413.56, 769,956.54 and 176,372.95 is: 264,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,413.56 : 769,956.54 = 176,372.95 : x
  2. Step 2: Convert to fraction form
    513,413.56/769,956.54 = 176,372.95/x
  3. Step 3: Cross multiply
    513,413.56x = 769,956.54 × 176,372.95
  4. Step 4: Simplify right side
    513,413.56x = 135,799,502,481.81
  5. Step 5: Solve for x
    x = 135,799,502,481.81/513,413.56
  6. Step 6: Final answer
    x = 264,503.15

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Why These Related Problems?

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