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Finding the Fourth Proportional to 1,233,968.80, 1,848,328.80 and 1,024,016.80

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Solution

The fourth proportional to 1,233,968.80, 1,848,328.80 and 1,024,016.80 is: 1,533,847.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,968.80 : 1,848,328.80 = 1,024,016.80 : x
  2. Step 2: Convert to fraction form
    1,233,968.80/1,848,328.80 = 1,024,016.80/x
  3. Step 3: Cross multiply
    1,233,968.80x = 1,848,328.80 × 1,024,016.80
  4. Step 4: Simplify right side
    1,233,968.80x = 1,892,719,743,123.84
  5. Step 5: Solve for x
    x = 1,892,719,743,123.84/1,233,968.80
  6. Step 6: Final answer
    x = 1,533,847.33

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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.