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Finding the Fourth Proportional to 287,438.96, 396,674.76 and 164,953.75

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Solution

The fourth proportional to 287,438.96, 396,674.76 and 164,953.75 is: 227,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,438.96 : 396,674.76 = 164,953.75 : x
  2. Step 2: Convert to fraction form
    287,438.96/396,674.76 = 164,953.75/x
  3. Step 3: Cross multiply
    287,438.96x = 396,674.76 × 164,953.75
  4. Step 4: Simplify right side
    287,438.96x = 65,432,988,200.66
  5. Step 5: Solve for x
    x = 65,432,988,200.66/287,438.96
  6. Step 6: Final answer
    x = 227,641.34

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