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Finding the Fourth Proportional to 432,914.82, 597,370.70 and 239,296.38

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Solution

The fourth proportional to 432,914.82, 597,370.70 and 239,296.38 is: 330,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,914.82 : 597,370.70 = 239,296.38 : x
  2. Step 2: Convert to fraction form
    432,914.82/597,370.70 = 239,296.38/x
  3. Step 3: Cross multiply
    432,914.82x = 597,370.70 × 239,296.38
  4. Step 4: Simplify right side
    432,914.82x = 142,948,646,028.07
  5. Step 5: Solve for x
    x = 142,948,646,028.07/432,914.82
  6. Step 6: Final answer
    x = 330,200.40

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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.