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Finding the Fourth Proportional to 492,683.94, 738,697.59 and 177,099.84

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Solution

The fourth proportional to 492,683.94, 738,697.59 and 177,099.84 is: 265,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,683.94 : 738,697.59 = 177,099.84 : x
  2. Step 2: Convert to fraction form
    492,683.94/738,697.59 = 177,099.84/x
  3. Step 3: Cross multiply
    492,683.94x = 738,697.59 × 177,099.84
  4. Step 4: Simplify right side
    492,683.94x = 130,823,224,997.39
  5. Step 5: Solve for x
    x = 130,823,224,997.39/492,683.94
  6. Step 6: Final answer
    x = 265,531.74

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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.