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Finding the Fourth Proportional to 384,286.80, 576,430.20 and 360,958.80

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Solution

The fourth proportional to 384,286.80, 576,430.20 and 360,958.80 is: 541,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,286.80 : 576,430.20 = 360,958.80 : x
  2. Step 2: Convert to fraction form
    384,286.80/576,430.20 = 360,958.80/x
  3. Step 3: Cross multiply
    384,286.80x = 576,430.20 × 360,958.80
  4. Step 4: Simplify right side
    384,286.80x = 208,067,553,275.76
  5. Step 5: Solve for x
    x = 208,067,553,275.76/384,286.80
  6. Step 6: Final answer
    x = 541,438.20

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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.