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Finding the Fourth Proportional to 542,687.57, 748,953.68 and 301,048.05

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Solution

The fourth proportional to 542,687.57, 748,953.68 and 301,048.05 is: 415,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,687.57 : 748,953.68 = 301,048.05 : x
  2. Step 2: Convert to fraction form
    542,687.57/748,953.68 = 301,048.05/x
  3. Step 3: Cross multiply
    542,687.57x = 748,953.68 × 301,048.05
  4. Step 4: Simplify right side
    542,687.57x = 225,471,043,399.08
  5. Step 5: Solve for x
    x = 225,471,043,399.08/542,687.57
  6. Step 6: Final answer
    x = 415,471.18

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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.