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Finding the Fourth Proportional to 701,074.50, 967,482.81 and 378,784.68

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Solution

The fourth proportional to 701,074.50, 967,482.81 and 378,784.68 is: 522,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,074.50 : 967,482.81 = 378,784.68 : x
  2. Step 2: Convert to fraction form
    701,074.50/967,482.81 = 378,784.68/x
  3. Step 3: Cross multiply
    701,074.50x = 967,482.81 × 378,784.68
  4. Step 4: Simplify right side
    701,074.50x = 366,467,666,591.35
  5. Step 5: Solve for x
    x = 366,467,666,591.35/701,074.50
  6. Step 6: Final answer
    x = 522,722.86

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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.