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Finding the Fourth Proportional to 287,570.41, 396,800.49 and 166,688.09

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Solution

The fourth proportional to 287,570.41, 396,800.49 and 166,688.09 is: 230,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,570.41 : 396,800.49 = 166,688.09 : x
  2. Step 2: Convert to fraction form
    287,570.41/396,800.49 = 166,688.09/x
  3. Step 3: Cross multiply
    287,570.41x = 396,800.49 × 166,688.09
  4. Step 4: Simplify right side
    287,570.41x = 66,141,913,805.16
  5. Step 5: Solve for x
    x = 66,141,913,805.16/287,570.41
  6. Step 6: Final answer
    x = 230,002.50

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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.