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Finding the Fourth Proportional to 1,294,299.23, 1,789,361.22 and 971,448.81

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Solution

The fourth proportional to 1,294,299.23, 1,789,361.22 and 971,448.81 is: 1,343,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,299.23 : 1,789,361.22 = 971,448.81 : x
  2. Step 2: Convert to fraction form
    1,294,299.23/1,789,361.22 = 971,448.81/x
  3. Step 3: Cross multiply
    1,294,299.23x = 1,789,361.22 × 971,448.81
  4. Step 4: Simplify right side
    1,294,299.23x = 1,738,272,827,829.15
  5. Step 5: Solve for x
    x = 1,738,272,827,829.15/1,294,299.23
  6. Step 6: Final answer
    x = 1,343,022.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.