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Finding the Fourth Proportional to 419,097.30, 578,403.51 and 235,366.06

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Solution

The fourth proportional to 419,097.30, 578,403.51 and 235,366.06 is: 324,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,097.30 : 578,403.51 = 235,366.06 : x
  2. Step 2: Convert to fraction form
    419,097.30/578,403.51 = 235,366.06/x
  3. Step 3: Cross multiply
    419,097.30x = 578,403.51 × 235,366.06
  4. Step 4: Simplify right side
    419,097.30x = 136,136,555,238.87
  5. Step 5: Solve for x
    x = 136,136,555,238.87/419,097.30
  6. Step 6: Final answer
    x = 324,832.81

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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.