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Finding the Fourth Proportional to 702,183.75, 969,038.51 and 396,334.59

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Solution

The fourth proportional to 702,183.75, 969,038.51 and 396,334.59 is: 546,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,183.75 : 969,038.51 = 396,334.59 : x
  2. Step 2: Convert to fraction form
    702,183.75/969,038.51 = 396,334.59/x
  3. Step 3: Cross multiply
    702,183.75x = 969,038.51 × 396,334.59
  4. Step 4: Simplify right side
    702,183.75x = 384,063,478,573.39
  5. Step 5: Solve for x
    x = 384,063,478,573.39/702,183.75
  6. Step 6: Final answer
    x = 546,955.81

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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.