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Finding the Fourth Proportional to 416,932.41, 575,428.46 and 263,984.84

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Solution

The fourth proportional to 416,932.41, 575,428.46 and 263,984.84 is: 364,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,932.41 : 575,428.46 = 263,984.84 : x
  2. Step 2: Convert to fraction form
    416,932.41/575,428.46 = 263,984.84/x
  3. Step 3: Cross multiply
    416,932.41x = 575,428.46 × 263,984.84
  4. Step 4: Simplify right side
    416,932.41x = 151,904,387,905.34
  5. Step 5: Solve for x
    x = 151,904,387,905.34/416,932.41
  6. Step 6: Final answer
    x = 364,338.16

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