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Finding the Fourth Proportional to 702,723.09, 969,758.02 and 380,435.84

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Solution

The fourth proportional to 702,723.09, 969,758.02 and 380,435.84 is: 525,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,723.09 : 969,758.02 = 380,435.84 : x
  2. Step 2: Convert to fraction form
    702,723.09/969,758.02 = 380,435.84/x
  3. Step 3: Cross multiply
    702,723.09x = 969,758.02 × 380,435.84
  4. Step 4: Simplify right side
    702,723.09x = 368,930,706,198.78
  5. Step 5: Solve for x
    x = 368,930,706,198.78/702,723.09
  6. Step 6: Final answer
    x = 525,001.54

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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.