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Finding the Fourth Proportional to 678,225, 935,994.24 and 376,419

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Solution

The fourth proportional to 678,225, 935,994.24 and 376,419 is: 519,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,225 : 935,994.24 = 376,419 : x
  2. Step 2: Convert to fraction form
    678,225/935,994.24 = 376,419/x
  3. Step 3: Cross multiply
    678,225x = 935,994.24 × 376,419
  4. Step 4: Simplify right side
    678,225x = 352,326,015,826.56
  5. Step 5: Solve for x
    x = 352,326,015,826.56/678,225
  6. Step 6: Final answer
    x = 519,482.50

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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.