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Finding the Fourth Proportional to 312,933, 469,436.13 and 99,626.19

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Solution

The fourth proportional to 312,933, 469,436.13 and 99,626.19 is: 149,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,933 : 469,436.13 = 99,626.19 : x
  2. Step 2: Convert to fraction form
    312,933/469,436.13 = 99,626.19/x
  3. Step 3: Cross multiply
    312,933x = 469,436.13 × 99,626.19
  4. Step 4: Simplify right side
    312,933x = 46,768,133,080.24
  5. Step 5: Solve for x
    x = 46,768,133,080.24/312,933
  6. Step 6: Final answer
    x = 149,450.95

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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.