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Finding the Fourth Proportional to 357,723.24, 493,550.42 and 214,431

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Solution

The fourth proportional to 357,723.24, 493,550.42 and 214,431 is: 295,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,723.24 : 493,550.42 = 214,431 : x
  2. Step 2: Convert to fraction form
    357,723.24/493,550.42 = 214,431/x
  3. Step 3: Cross multiply
    357,723.24x = 493,550.42 × 214,431
  4. Step 4: Simplify right side
    357,723.24x = 105,832,510,111.02
  5. Step 5: Solve for x
    x = 105,832,510,111.02/357,723.24
  6. Step 6: Final answer
    x = 295,850.25

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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.