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Finding the Fourth Proportional to 351,141.84, 484,574.40 and 189,997.20

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Solution

The fourth proportional to 351,141.84, 484,574.40 and 189,997.20 is: 262,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,141.84 : 484,574.40 = 189,997.20 : x
  2. Step 2: Convert to fraction form
    351,141.84/484,574.40 = 189,997.20/x
  3. Step 3: Cross multiply
    351,141.84x = 484,574.40 × 189,997.20
  4. Step 4: Simplify right side
    351,141.84x = 92,067,779,191.68
  5. Step 5: Solve for x
    x = 92,067,779,191.68/351,141.84
  6. Step 6: Final answer
    x = 262,195.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.