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Finding the Fourth Proportional to 1,181,171.04, 1,769,097.53 and 827,762.78

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Solution

The fourth proportional to 1,181,171.04, 1,769,097.53 and 827,762.78 is: 1,239,780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,171.04 : 1,769,097.53 = 827,762.78 : x
  2. Step 2: Convert to fraction form
    1,181,171.04/1,769,097.53 = 827,762.78/x
  3. Step 3: Cross multiply
    1,181,171.04x = 1,769,097.53 × 827,762.78
  4. Step 4: Simplify right side
    1,181,171.04x = 1,464,393,076,539.63
  5. Step 5: Solve for x
    x = 1,464,393,076,539.63/1,181,171.04
  6. Step 6: Final answer
    x = 1,239,780.72

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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.