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Finding the Fourth Proportional to 472,241.34, 707,915.70 and 188,107.31

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Solution

The fourth proportional to 472,241.34, 707,915.70 and 188,107.31 is: 281,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,241.34 : 707,915.70 = 188,107.31 : x
  2. Step 2: Convert to fraction form
    472,241.34/707,915.70 = 188,107.31/x
  3. Step 3: Cross multiply
    472,241.34x = 707,915.70 × 188,107.31
  4. Step 4: Simplify right side
    472,241.34x = 133,164,119,803.56
  5. Step 5: Solve for x
    x = 133,164,119,803.56/472,241.34
  6. Step 6: Final answer
    x = 281,983.19

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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.