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Finding the Fourth Proportional to 345,160.36, 476,210.10 and 194,228.20

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Solution

The fourth proportional to 345,160.36, 476,210.10 and 194,228.20 is: 267,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,160.36 : 476,210.10 = 194,228.20 : x
  2. Step 2: Convert to fraction form
    345,160.36/476,210.10 = 194,228.20/x
  3. Step 3: Cross multiply
    345,160.36x = 476,210.10 × 194,228.20
  4. Step 4: Simplify right side
    345,160.36x = 92,493,430,544.82
  5. Step 5: Solve for x
    x = 92,493,430,544.82/345,160.36
  6. Step 6: Final answer
    x = 267,972.34

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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.