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Finding the Fourth Proportional to 410,181.44, 565,822.94 and 240,382.76

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Solution

The fourth proportional to 410,181.44, 565,822.94 and 240,382.76 is: 331,594.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,181.44 : 565,822.94 = 240,382.76 : x
  2. Step 2: Convert to fraction form
    410,181.44/565,822.94 = 240,382.76/x
  3. Step 3: Cross multiply
    410,181.44x = 565,822.94 × 240,382.76
  4. Step 4: Simplify right side
    410,181.44x = 136,014,079,988.51
  5. Step 5: Solve for x
    x = 136,014,079,988.51/410,181.44
  6. Step 6: Final answer
    x = 331,594.92

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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.