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Finding the Fourth Proportional to 313,660.82, 432,851.24 and 170,421.44

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Solution

The fourth proportional to 313,660.82, 432,851.24 and 170,421.44 is: 235,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,660.82 : 432,851.24 = 170,421.44 : x
  2. Step 2: Convert to fraction form
    313,660.82/432,851.24 = 170,421.44/x
  3. Step 3: Cross multiply
    313,660.82x = 432,851.24 × 170,421.44
  4. Step 4: Simplify right side
    313,660.82x = 73,767,129,888.38
  5. Step 5: Solve for x
    x = 73,767,129,888.38/313,660.82
  6. Step 6: Final answer
    x = 235,181.20

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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.