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Finding the Fourth Proportional to 432,838.38, 597,305.82 and 241,853.34

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Solution

The fourth proportional to 432,838.38, 597,305.82 and 241,853.34 is: 333,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,838.38 : 597,305.82 = 241,853.34 : x
  2. Step 2: Convert to fraction form
    432,838.38/597,305.82 = 241,853.34/x
  3. Step 3: Cross multiply
    432,838.38x = 597,305.82 × 241,853.34
  4. Step 4: Simplify right side
    432,838.38x = 144,460,407,568.44
  5. Step 5: Solve for x
    x = 144,460,407,568.44/432,838.38
  6. Step 6: Final answer
    x = 333,751.38

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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.