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Finding the Fourth Proportional to 312,413.76, 468,523.67 and 112,708.12

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Solution

The fourth proportional to 312,413.76, 468,523.67 and 112,708.12 is: 169,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,413.76 : 468,523.67 = 112,708.12 : x
  2. Step 2: Convert to fraction form
    312,413.76/468,523.67 = 112,708.12/x
  3. Step 3: Cross multiply
    312,413.76x = 468,523.67 × 112,708.12
  4. Step 4: Simplify right side
    312,413.76x = 52,806,421,457.66
  5. Step 5: Solve for x
    x = 52,806,421,457.66/312,413.76
  6. Step 6: Final answer
    x = 169,027.20

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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.