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Finding the Fourth Proportional to 587,846.80, 811,292.02 and 333,170.64

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Solution

The fourth proportional to 587,846.80, 811,292.02 and 333,170.64 is: 459,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,846.80 : 811,292.02 = 333,170.64 : x
  2. Step 2: Convert to fraction form
    587,846.80/811,292.02 = 333,170.64/x
  3. Step 3: Cross multiply
    587,846.80x = 811,292.02 × 333,170.64
  4. Step 4: Simplify right side
    587,846.80x = 270,298,681,530.29
  5. Step 5: Solve for x
    x = 270,298,681,530.29/587,846.80
  6. Step 6: Final answer
    x = 459,811.44

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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.