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Finding the Fourth Proportional to 542,032.81, 748,029.24 and 300,315.31

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Solution

The fourth proportional to 542,032.81, 748,029.24 and 300,315.31 is: 414,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,032.81 : 748,029.24 = 300,315.31 : x
  2. Step 2: Convert to fraction form
    542,032.81/748,029.24 = 300,315.31/x
  3. Step 3: Cross multiply
    542,032.81x = 748,029.24 × 300,315.31
  4. Step 4: Simplify right side
    542,032.81x = 224,644,633,099.66
  5. Step 5: Solve for x
    x = 224,644,633,099.66/542,032.81
  6. Step 6: Final answer
    x = 414,448.40

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