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Finding the Fourth Proportional to 384,033.80, 576,050.70 and 321,825.80

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Solution

The fourth proportional to 384,033.80, 576,050.70 and 321,825.80 is: 482,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,033.80 : 576,050.70 = 321,825.80 : x
  2. Step 2: Convert to fraction form
    384,033.80/576,050.70 = 321,825.80/x
  3. Step 3: Cross multiply
    384,033.80x = 576,050.70 × 321,825.80
  4. Step 4: Simplify right side
    384,033.80x = 185,387,977,368.06
  5. Step 5: Solve for x
    x = 185,387,977,368.06/384,033.80
  6. Step 6: Final answer
    x = 482,738.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.