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Finding the Fourth Proportional to 287,681.82, 396,912.81 and 166,798.84

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Solution

The fourth proportional to 287,681.82, 396,912.81 and 166,798.84 is: 230,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,681.82 : 396,912.81 = 166,798.84 : x
  2. Step 2: Convert to fraction form
    287,681.82/396,912.81 = 166,798.84/x
  3. Step 3: Cross multiply
    287,681.82x = 396,912.81 × 166,798.84
  4. Step 4: Simplify right side
    287,681.82x = 66,204,596,289.14
  5. Step 5: Solve for x
    x = 66,204,596,289.14/287,681.82
  6. Step 6: Final answer
    x = 230,131.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.