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Finding the Fourth Proportional to 297,413.04, 446,189.76 and 97,734

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Solution

The fourth proportional to 297,413.04, 446,189.76 and 97,734 is: 146,624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,413.04 : 446,189.76 = 97,734 : x
  2. Step 2: Convert to fraction form
    297,413.04/446,189.76 = 97,734/x
  3. Step 3: Cross multiply
    297,413.04x = 446,189.76 × 97,734
  4. Step 4: Simplify right side
    297,413.04x = 43,607,910,003.84
  5. Step 5: Solve for x
    x = 43,607,910,003.84/297,413.04
  6. Step 6: Final answer
    x = 146,624.07

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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.