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Finding the Fourth Proportional to 542,833.80, 814,250.70 and 385,369.80

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Solution

The fourth proportional to 542,833.80, 814,250.70 and 385,369.80 is: 578,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,833.80 : 814,250.70 = 385,369.80 : x
  2. Step 2: Convert to fraction form
    542,833.80/814,250.70 = 385,369.80/x
  3. Step 3: Cross multiply
    542,833.80x = 814,250.70 × 385,369.80
  4. Step 4: Simplify right side
    542,833.80x = 313,787,629,408.86
  5. Step 5: Solve for x
    x = 313,787,629,408.86/542,833.80
  6. Step 6: Final answer
    x = 578,054.70

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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.