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Finding the Fourth Proportional to 392,952.42, 589,657.35 and 165,231.57

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Solution

The fourth proportional to 392,952.42, 589,657.35 and 165,231.57 is: 247,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,952.42 : 589,657.35 = 165,231.57 : x
  2. Step 2: Convert to fraction form
    392,952.42/589,657.35 = 165,231.57/x
  3. Step 3: Cross multiply
    392,952.42x = 589,657.35 × 165,231.57
  4. Step 4: Simplify right side
    392,952.42x = 97,430,009,702.54
  5. Step 5: Solve for x
    x = 97,430,009,702.54/392,952.42
  6. Step 6: Final answer
    x = 247,943.53

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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.