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Finding the Fourth Proportional to 234,633, 322,594.60 and 208,894.44

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Solution

The fourth proportional to 234,633, 322,594.60 and 208,894.44 is: 287,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,633 : 322,594.60 = 208,894.44 : x
  2. Step 2: Convert to fraction form
    234,633/322,594.60 = 208,894.44/x
  3. Step 3: Cross multiply
    234,633x = 322,594.60 × 208,894.44
  4. Step 4: Simplify right side
    234,633x = 67,388,218,314.02
  5. Step 5: Solve for x
    x = 67,388,218,314.02/234,633
  6. Step 6: Final answer
    x = 287,206.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.