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Finding the Fourth Proportional to 473,942.70, 654,040.98 and 259,083.72

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Solution

The fourth proportional to 473,942.70, 654,040.98 and 259,083.72 is: 357,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,942.70 : 654,040.98 = 259,083.72 : x
  2. Step 2: Convert to fraction form
    473,942.70/654,040.98 = 259,083.72/x
  3. Step 3: Cross multiply
    473,942.70x = 654,040.98 × 259,083.72
  4. Step 4: Simplify right side
    473,942.70x = 169,451,370,130.85
  5. Step 5: Solve for x
    x = 169,451,370,130.85/473,942.70
  6. Step 6: Final answer
    x = 357,535.56

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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.