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Finding the Fourth Proportional to 542,990.86, 814,063.47 and 258,535.06

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Solution

The fourth proportional to 542,990.86, 814,063.47 and 258,535.06 is: 387,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,990.86 : 814,063.47 = 258,535.06 : x
  2. Step 2: Convert to fraction form
    542,990.86/814,063.47 = 258,535.06/x
  3. Step 3: Cross multiply
    542,990.86x = 814,063.47 × 258,535.06
  4. Step 4: Simplify right side
    542,990.86x = 210,463,948,060.26
  5. Step 5: Solve for x
    x = 210,463,948,060.26/542,990.86
  6. Step 6: Final answer
    x = 387,601.27

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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.