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Finding the Fourth Proportional to 432,680.86, 597,045.92 and 241,730.26

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Solution

The fourth proportional to 432,680.86, 597,045.92 and 241,730.26 is: 333,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,680.86 : 597,045.92 = 241,730.26 : x
  2. Step 2: Convert to fraction form
    432,680.86/597,045.92 = 241,730.26/x
  3. Step 3: Cross multiply
    432,680.86x = 597,045.92 × 241,730.26
  4. Step 4: Simplify right side
    432,680.86x = 144,324,065,473.54
  5. Step 5: Solve for x
    x = 144,324,065,473.54/432,680.86
  6. Step 6: Final answer
    x = 333,557.78

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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.