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Finding the Fourth Proportional to 293,317.84, 404,784.68 and 165,993.40

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Solution

The fourth proportional to 293,317.84, 404,784.68 and 165,993.40 is: 229,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,317.84 : 404,784.68 = 165,993.40 : x
  2. Step 2: Convert to fraction form
    293,317.84/404,784.68 = 165,993.40/x
  3. Step 3: Cross multiply
    293,317.84x = 404,784.68 × 165,993.40
  4. Step 4: Simplify right side
    293,317.84x = 67,191,585,301.11
  5. Step 5: Solve for x
    x = 67,191,585,301.11/293,317.84
  6. Step 6: Final answer
    x = 229,074.32

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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.