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Finding the Fourth Proportional to 462,475.36, 693,756.78 and 181,927

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Solution

The fourth proportional to 462,475.36, 693,756.78 and 181,927 is: 272,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,475.36 : 693,756.78 = 181,927 : x
  2. Step 2: Convert to fraction form
    462,475.36/693,756.78 = 181,927/x
  3. Step 3: Cross multiply
    462,475.36x = 693,756.78 × 181,927
  4. Step 4: Simplify right side
    462,475.36x = 126,213,089,715.06
  5. Step 5: Solve for x
    x = 126,213,089,715.06/462,475.36
  6. Step 6: Final answer
    x = 272,907.71

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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.