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Finding the Fourth Proportional to 384,124.80, 576,187.20 and 206,977.80

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Solution

The fourth proportional to 384,124.80, 576,187.20 and 206,977.80 is: 310,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,124.80 : 576,187.20 = 206,977.80 : x
  2. Step 2: Convert to fraction form
    384,124.80/576,187.20 = 206,977.80/x
  3. Step 3: Cross multiply
    384,124.80x = 576,187.20 × 206,977.80
  4. Step 4: Simplify right side
    384,124.80x = 119,257,959,044.16
  5. Step 5: Solve for x
    x = 119,257,959,044.16/384,124.80
  6. Step 6: Final answer
    x = 310,466.70

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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.