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Finding the Fourth Proportional to 285,030.40, 427,084.80 and 179,660.80

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Solution

The fourth proportional to 285,030.40, 427,084.80 and 179,660.80 is: 269,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,030.40 : 427,084.80 = 179,660.80 : x
  2. Step 2: Convert to fraction form
    285,030.40/427,084.80 = 179,660.80/x
  3. Step 3: Cross multiply
    285,030.40x = 427,084.80 × 179,660.80
  4. Step 4: Simplify right side
    285,030.40x = 76,730,396,835.84
  5. Step 5: Solve for x
    x = 76,730,396,835.84/285,030.40
  6. Step 6: Final answer
    x = 269,200.75

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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.