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Finding the Fourth Proportional to 432,937.97, 597,644.10 and 330,967.74

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Solution

The fourth proportional to 432,937.97, 597,644.10 and 330,967.74 is: 456,880.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,937.97 : 597,644.10 = 330,967.74 : x
  2. Step 2: Convert to fraction form
    432,937.97/597,644.10 = 330,967.74/x
  3. Step 3: Cross multiply
    432,937.97x = 597,644.10 × 330,967.74
  4. Step 4: Simplify right side
    432,937.97x = 197,800,917,101.33
  5. Step 5: Solve for x
    x = 197,800,917,101.33/432,937.97
  6. Step 6: Final answer
    x = 456,880.51

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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.