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Finding the Fourth Proportional to 561,155.49, 842,068.58 and 206,205.39

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Solution

The fourth proportional to 561,155.49, 842,068.58 and 206,205.39 is: 309,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,155.49 : 842,068.58 = 206,205.39 : x
  2. Step 2: Convert to fraction form
    561,155.49/842,068.58 = 206,205.39/x
  3. Step 3: Cross multiply
    561,155.49x = 842,068.58 × 206,205.39
  4. Step 4: Simplify right side
    561,155.49x = 173,639,078,914.62
  5. Step 5: Solve for x
    x = 173,639,078,914.62/561,155.49
  6. Step 6: Final answer
    x = 309,431.31

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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.