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Finding the Fourth Proportional to 384,046.20, 576,069.30 and 384,046.20

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Solution

The fourth proportional to 384,046.20, 576,069.30 and 384,046.20 is: 576,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,046.20 : 576,069.30 = 384,046.20 : x
  2. Step 2: Convert to fraction form
    384,046.20/576,069.30 = 384,046.20/x
  3. Step 3: Cross multiply
    384,046.20x = 576,069.30 × 384,046.20
  4. Step 4: Simplify right side
    384,046.20x = 221,237,225,601.66
  5. Step 5: Solve for x
    x = 221,237,225,601.66/384,046.20
  6. Step 6: Final answer
    x = 576,069.30

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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.