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Finding the Fourth Proportional to 507,114.50, 699,815.46 and 277,667.62

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Solution

The fourth proportional to 507,114.50, 699,815.46 and 277,667.62 is: 383,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,114.50 : 699,815.46 = 277,667.62 : x
  2. Step 2: Convert to fraction form
    507,114.50/699,815.46 = 277,667.62/x
  3. Step 3: Cross multiply
    507,114.50x = 699,815.46 × 277,667.62
  4. Step 4: Simplify right side
    507,114.50x = 194,316,093,217.41
  5. Step 5: Solve for x
    x = 194,316,093,217.41/507,114.50
  6. Step 6: Final answer
    x = 383,179.92

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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.