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Finding the Fourth Proportional to 393,166.98, 588,864.12 and 275,364.06

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Solution

The fourth proportional to 393,166.98, 588,864.12 and 275,364.06 is: 412,425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,166.98 : 588,864.12 = 275,364.06 : x
  2. Step 2: Convert to fraction form
    393,166.98/588,864.12 = 275,364.06/x
  3. Step 3: Cross multiply
    393,166.98x = 588,864.12 × 275,364.06
  4. Step 4: Simplify right side
    393,166.98x = 162,152,014,871.53
  5. Step 5: Solve for x
    x = 162,152,014,871.53/393,166.98
  6. Step 6: Final answer
    x = 412,425.31

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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.