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Finding the Fourth Proportional to 2,489,462.40, 3,724,862.40 and 1,649,654.40

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Solution

The fourth proportional to 2,489,462.40, 3,724,862.40 and 1,649,654.40 is: 2,468,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489,462.40 : 3,724,862.40 = 1,649,654.40 : x
  2. Step 2: Convert to fraction form
    2,489,462.40/3,724,862.40 = 1,649,654.40/x
  3. Step 3: Cross multiply
    2,489,462.40x = 3,724,862.40 × 1,649,654.40
  4. Step 4: Simplify right side
    2,489,462.40x = 6,144,735,647,554.56
  5. Step 5: Solve for x
    x = 6,144,735,647,554.56/2,489,462.40
  6. Step 6: Final answer
    x = 2,468,298.23

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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.