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Finding the Fourth Proportional to 684,214.84, 944,144.13 and 378,241.89

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Solution

The fourth proportional to 684,214.84, 944,144.13 and 378,241.89 is: 521,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,214.84 : 944,144.13 = 378,241.89 : x
  2. Step 2: Convert to fraction form
    684,214.84/944,144.13 = 378,241.89/x
  3. Step 3: Cross multiply
    684,214.84x = 944,144.13 × 378,241.89
  4. Step 4: Simplify right side
    684,214.84x = 357,114,860,163.61
  5. Step 5: Solve for x
    x = 357,114,860,163.61/684,214.84
  6. Step 6: Final answer
    x = 521,933.82

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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.