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Finding the Fourth Proportional to 474,576.98, 654,907.48 and 259,712.73

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Solution

The fourth proportional to 474,576.98, 654,907.48 and 259,712.73 is: 358,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,576.98 : 654,907.48 = 259,712.73 : x
  2. Step 2: Convert to fraction form
    474,576.98/654,907.48 = 259,712.73/x
  3. Step 3: Cross multiply
    474,576.98x = 654,907.48 × 259,712.73
  4. Step 4: Simplify right side
    474,576.98x = 170,087,808,878.94
  5. Step 5: Solve for x
    x = 170,087,808,878.94/474,576.98
  6. Step 6: Final answer
    x = 358,398.78

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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.