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Finding the Fourth Proportional to 293,527.09, 405,061.49 and 164,464.02

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Solution

The fourth proportional to 293,527.09, 405,061.49 and 164,464.02 is: 226,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,527.09 : 405,061.49 = 164,464.02 : x
  2. Step 2: Convert to fraction form
    293,527.09/405,061.49 = 164,464.02/x
  3. Step 3: Cross multiply
    293,527.09x = 405,061.49 × 164,464.02
  4. Step 4: Simplify right side
    293,527.09x = 66,618,041,403.75
  5. Step 5: Solve for x
    x = 66,618,041,403.75/293,527.09
  6. Step 6: Final answer
    x = 226,957.05

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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.