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Finding the Fourth Proportional to 702,617.09, 969,611.31 and 380,329.83

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Solution

The fourth proportional to 702,617.09, 969,611.31 and 380,329.83 is: 524,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,617.09 : 969,611.31 = 380,329.83 : x
  2. Step 2: Convert to fraction form
    702,617.09/969,611.31 = 380,329.83/x
  3. Step 3: Cross multiply
    702,617.09x = 969,611.31 × 380,329.83
  4. Step 4: Simplify right side
    702,617.09x = 368,772,104,698.38
  5. Step 5: Solve for x
    x = 368,772,104,698.38/702,617.09
  6. Step 6: Final answer
    x = 524,855.02

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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.