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Finding the Fourth Proportional to 520,429, 718,192.74 and 281,965

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Solution

The fourth proportional to 520,429, 718,192.74 and 281,965 is: 389,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,429 : 718,192.74 = 281,965 : x
  2. Step 2: Convert to fraction form
    520,429/718,192.74 = 281,965/x
  3. Step 3: Cross multiply
    520,429x = 718,192.74 × 281,965
  4. Step 4: Simplify right side
    520,429x = 202,505,215,934.10
  5. Step 5: Solve for x
    x = 202,505,215,934.10/520,429
  6. Step 6: Final answer
    x = 389,112.09

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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.