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Finding the Fourth Proportional to 360,096, 496,932.48 and 201,120

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Solution

The fourth proportional to 360,096, 496,932.48 and 201,120 is: 277,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,096 : 496,932.48 = 201,120 : x
  2. Step 2: Convert to fraction form
    360,096/496,932.48 = 201,120/x
  3. Step 3: Cross multiply
    360,096x = 496,932.48 × 201,120
  4. Step 4: Simplify right side
    360,096x = 99,943,060,377.60
  5. Step 5: Solve for x
    x = 99,943,060,377.60/360,096
  6. Step 6: Final answer
    x = 277,545.60

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Why These Related Problems?

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