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Finding the Fourth Proportional to 419,264.56, 578,589.24 and 240,382

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Solution

The fourth proportional to 419,264.56, 578,589.24 and 240,382 is: 331,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,264.56 : 578,589.24 = 240,382 : x
  2. Step 2: Convert to fraction form
    419,264.56/578,589.24 = 240,382/x
  3. Step 3: Cross multiply
    419,264.56x = 578,589.24 × 240,382
  4. Step 4: Simplify right side
    419,264.56x = 139,082,438,689.68
  5. Step 5: Solve for x
    x = 139,082,438,689.68/419,264.56
  6. Step 6: Final answer
    x = 331,729.54

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Why These Related Problems?

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