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Finding the Fourth Proportional to 384,208.40, 575,578.20 and 206,656.40

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Solution

The fourth proportional to 384,208.40, 575,578.20 and 206,656.40 is: 309,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,208.40 : 575,578.20 = 206,656.40 : x
  2. Step 2: Convert to fraction form
    384,208.40/575,578.20 = 206,656.40/x
  3. Step 3: Cross multiply
    384,208.40x = 575,578.20 × 206,656.40
  4. Step 4: Simplify right side
    384,208.40x = 118,946,918,730.48
  5. Step 5: Solve for x
    x = 118,946,918,730.48/384,208.40
  6. Step 6: Final answer
    x = 309,589.58

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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.