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Finding the Fourth Proportional to 333,980.72, 460,723.94 and 211,266.32

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Solution

The fourth proportional to 333,980.72, 460,723.94 and 211,266.32 is: 291,440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,980.72 : 460,723.94 = 211,266.32 : x
  2. Step 2: Convert to fraction form
    333,980.72/460,723.94 = 211,266.32/x
  3. Step 3: Cross multiply
    333,980.72x = 460,723.94 × 211,266.32
  4. Step 4: Simplify right side
    333,980.72x = 97,335,451,339.70
  5. Step 5: Solve for x
    x = 97,335,451,339.70/333,980.72
  6. Step 6: Final answer
    x = 291,440.33

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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.