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Finding the Fourth Proportional to 560,277, 840,422.79 and 186,300

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Solution

The fourth proportional to 560,277, 840,422.79 and 186,300 is: 279,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,277 : 840,422.79 = 186,300 : x
  2. Step 2: Convert to fraction form
    560,277/840,422.79 = 186,300/x
  3. Step 3: Cross multiply
    560,277x = 840,422.79 × 186,300
  4. Step 4: Simplify right side
    560,277x = 156,570,765,777
  5. Step 5: Solve for x
    x = 156,570,765,777/560,277
  6. Step 6: Final answer
    x = 279,452.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.