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Finding the Fourth Proportional to 321,022.42, 442,590.84 and 276,182.08

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Solution

The fourth proportional to 321,022.42, 442,590.84 and 276,182.08 is: 380,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,022.42 : 442,590.84 = 276,182.08 : x
  2. Step 2: Convert to fraction form
    321,022.42/442,590.84 = 276,182.08/x
  3. Step 3: Cross multiply
    321,022.42x = 442,590.84 × 276,182.08
  4. Step 4: Simplify right side
    321,022.42x = 122,235,657,673.67
  5. Step 5: Solve for x
    x = 122,235,657,673.67/321,022.42
  6. Step 6: Final answer
    x = 380,769.85

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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.