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Finding the Fourth Proportional to 331,459.32, 497,406.89 and 181,804.50

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Solution

The fourth proportional to 331,459.32, 497,406.89 and 181,804.50 is: 272,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,459.32 : 497,406.89 = 181,804.50 : x
  2. Step 2: Convert to fraction form
    331,459.32/497,406.89 = 181,804.50/x
  3. Step 3: Cross multiply
    331,459.32x = 497,406.89 × 181,804.50
  4. Step 4: Simplify right side
    331,459.32x = 90,430,811,387.52
  5. Step 5: Solve for x
    x = 90,430,811,387.52/331,459.32
  6. Step 6: Final answer
    x = 272,826.27

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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.