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Finding the Fourth Proportional to 376,125.12, 519,295.86 and 233,037

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Solution

The fourth proportional to 376,125.12, 519,295.86 and 233,037 is: 321,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,125.12 : 519,295.86 = 233,037 : x
  2. Step 2: Convert to fraction form
    376,125.12/519,295.86 = 233,037/x
  3. Step 3: Cross multiply
    376,125.12x = 519,295.86 × 233,037
  4. Step 4: Simplify right side
    376,125.12x = 121,015,149,326.82
  5. Step 5: Solve for x
    x = 121,015,149,326.82/376,125.12
  6. Step 6: Final answer
    x = 321,741.74

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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.