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Finding the Fourth Proportional to 409,632.50, 614,552.44 and 114,144.50

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Solution

The fourth proportional to 409,632.50, 614,552.44 and 114,144.50 is: 171,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,632.50 : 614,552.44 = 114,144.50 : x
  2. Step 2: Convert to fraction form
    409,632.50/614,552.44 = 114,144.50/x
  3. Step 3: Cross multiply
    409,632.50x = 614,552.44 × 114,144.50
  4. Step 4: Simplify right side
    409,632.50x = 70,147,780,987.58
  5. Step 5: Solve for x
    x = 70,147,780,987.58/409,632.50
  6. Step 6: Final answer
    x = 171,245.64

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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.