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Finding the Fourth Proportional to 319,983.40, 479,537.70 and 213,063.40

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Solution

The fourth proportional to 319,983.40, 479,537.70 and 213,063.40 is: 319,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,983.40 : 479,537.70 = 213,063.40 : x
  2. Step 2: Convert to fraction form
    319,983.40/479,537.70 = 213,063.40/x
  3. Step 3: Cross multiply
    319,983.40x = 479,537.70 × 213,063.40
  4. Step 4: Simplify right side
    319,983.40x = 102,171,932,790.18
  5. Step 5: Solve for x
    x = 102,171,932,790.18/319,983.40
  6. Step 6: Final answer
    x = 319,303.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.