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Finding the Fourth Proportional to 519,337.37, 779,107.04 and 199,465.83

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Solution

The fourth proportional to 519,337.37, 779,107.04 and 199,465.83 is: 299,237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,337.37 : 779,107.04 = 199,465.83 : x
  2. Step 2: Convert to fraction form
    519,337.37/779,107.04 = 199,465.83/x
  3. Step 3: Cross multiply
    519,337.37x = 779,107.04 × 199,465.83
  4. Step 4: Simplify right side
    519,337.37x = 155,405,232,392.44
  5. Step 5: Solve for x
    x = 155,405,232,392.44/519,337.37
  6. Step 6: Final answer
    x = 299,237.53

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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.