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Finding the Fourth Proportional to 309,802.38, 427,527.50 and 173,817.56

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Solution

The fourth proportional to 309,802.38, 427,527.50 and 173,817.56 is: 239,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,802.38 : 427,527.50 = 173,817.56 : x
  2. Step 2: Convert to fraction form
    309,802.38/427,527.50 = 173,817.56/x
  3. Step 3: Cross multiply
    309,802.38x = 427,527.50 × 173,817.56
  4. Step 4: Simplify right side
    309,802.38x = 74,311,783,876.17
  5. Step 5: Solve for x
    x = 74,311,783,876.17/309,802.38
  6. Step 6: Final answer
    x = 239,868.34

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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.