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Finding the Fourth Proportional to 497,896.68, 687,159.24 and 304,264.56

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Solution

The fourth proportional to 497,896.68, 687,159.24 and 304,264.56 is: 419,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,896.68 : 687,159.24 = 304,264.56 : x
  2. Step 2: Convert to fraction form
    497,896.68/687,159.24 = 304,264.56/x
  3. Step 3: Cross multiply
    497,896.68x = 687,159.24 × 304,264.56
  4. Step 4: Simplify right side
    497,896.68x = 209,078,203,808.53
  5. Step 5: Solve for x
    x = 209,078,203,808.53/497,896.68
  6. Step 6: Final answer
    x = 419,922.87

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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.