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Finding the Fourth Proportional to 345,114, 476,257.32 and 194,214.24

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Solution

The fourth proportional to 345,114, 476,257.32 and 194,214.24 is: 268,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,114 : 476,257.32 = 194,214.24 : x
  2. Step 2: Convert to fraction form
    345,114/476,257.32 = 194,214.24/x
  3. Step 3: Cross multiply
    345,114x = 476,257.32 × 194,214.24
  4. Step 4: Simplify right side
    345,114x = 92,495,953,448.24
  5. Step 5: Solve for x
    x = 92,495,953,448.24/345,114
  6. Step 6: Final answer
    x = 268,015.65

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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.