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Finding the Fourth Proportional to 297,588.67, 446,413.76 and 97,908.78

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Solution

The fourth proportional to 297,588.67, 446,413.76 and 97,908.78 is: 146,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,588.67 : 446,413.76 = 97,908.78 : x
  2. Step 2: Convert to fraction form
    297,588.67/446,413.76 = 97,908.78/x
  3. Step 3: Cross multiply
    297,588.67x = 446,413.76 × 97,908.78
  4. Step 4: Simplify right side
    297,588.67x = 43,707,826,616.81
  5. Step 5: Solve for x
    x = 43,707,826,616.81/297,588.67
  6. Step 6: Final answer
    x = 146,873.29

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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.