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Finding the Fourth Proportional to 200,394.58, 300,794.41 and 177,746.92

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Solution

The fourth proportional to 200,394.58, 300,794.41 and 177,746.92 is: 266,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,394.58 : 300,794.41 = 177,746.92 : x
  2. Step 2: Convert to fraction form
    200,394.58/300,794.41 = 177,746.92/x
  3. Step 3: Cross multiply
    200,394.58x = 300,794.41 × 177,746.92
  4. Step 4: Simplify right side
    200,394.58x = 53,465,279,930.72
  5. Step 5: Solve for x
    x = 53,465,279,930.72/200,394.58
  6. Step 6: Final answer
    x = 266,800.03

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1.5x scale

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.