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Finding the Fourth Proportional to 492,728.06, 739,202.88 and 177,185

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Solution

The fourth proportional to 492,728.06, 739,202.88 and 177,185 is: 265,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,728.06 : 739,202.88 = 177,185 : x
  2. Step 2: Convert to fraction form
    492,728.06/739,202.88 = 177,185/x
  3. Step 3: Cross multiply
    492,728.06x = 739,202.88 × 177,185
  4. Step 4: Simplify right side
    492,728.06x = 130,975,662,292.80
  5. Step 5: Solve for x
    x = 130,975,662,292.80/492,728.06
  6. Step 6: Final answer
    x = 265,817.34

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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.