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Finding the Fourth Proportional to 684,151.86, 944,124.31 and 378,241.14

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Solution

The fourth proportional to 684,151.86, 944,124.31 and 378,241.14 is: 521,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,151.86 : 944,124.31 = 378,241.14 : x
  2. Step 2: Convert to fraction form
    684,151.86/944,124.31 = 378,241.14/x
  3. Step 3: Cross multiply
    684,151.86x = 944,124.31 × 378,241.14
  4. Step 4: Simplify right side
    684,151.86x = 357,106,653,620.79
  5. Step 5: Solve for x
    x = 357,106,653,620.79/684,151.86
  6. Step 6: Final answer
    x = 521,969.86

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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.