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Finding the Fourth Proportional to 333,965, 460,873.32 and 199,829

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Solution

The fourth proportional to 333,965, 460,873.32 and 199,829 is: 275,764.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,965 : 460,873.32 = 199,829 : x
  2. Step 2: Convert to fraction form
    333,965/460,873.32 = 199,829/x
  3. Step 3: Cross multiply
    333,965x = 460,873.32 × 199,829
  4. Step 4: Simplify right side
    333,965x = 92,095,854,662.28
  5. Step 5: Solve for x
    x = 92,095,854,662.28/333,965
  6. Step 6: Final answer
    x = 275,764.99

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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.