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Finding the Fourth Proportional to 587,846.87, 811,292.12 and 333,170.72

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Solution

The fourth proportional to 587,846.87, 811,292.12 and 333,170.72 is: 459,811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,846.87 : 811,292.12 = 333,170.72 : x
  2. Step 2: Convert to fraction form
    587,846.87/811,292.12 = 333,170.72/x
  3. Step 3: Cross multiply
    587,846.87x = 811,292.12 × 333,170.72
  4. Step 4: Simplify right side
    587,846.87x = 270,298,774,028.41
  5. Step 5: Solve for x
    x = 270,298,774,028.41/587,846.87
  6. Step 6: Final answer
    x = 459,811.54

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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.