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Finding the Fourth Proportional to 462,391.70, 693,577.83 and 213,073.70

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Solution

The fourth proportional to 462,391.70, 693,577.83 and 213,073.70 is: 319,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,391.70 : 693,577.83 = 213,073.70 : x
  2. Step 2: Convert to fraction form
    462,391.70/693,577.83 = 213,073.70/x
  3. Step 3: Cross multiply
    462,391.70x = 693,577.83 × 213,073.70
  4. Step 4: Simplify right side
    462,391.70x = 147,783,194,476.07
  5. Step 5: Solve for x
    x = 147,783,194,476.07/462,391.70
  6. Step 6: Final answer
    x = 319,606.07

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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.