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Finding the Fourth Proportional to 432,929.26, 646,223.57 and 381,797.56

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Solution

The fourth proportional to 432,929.26, 646,223.57 and 381,797.56 is: 569,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,929.26 : 646,223.57 = 381,797.56 : x
  2. Step 2: Convert to fraction form
    432,929.26/646,223.57 = 381,797.56/x
  3. Step 3: Cross multiply
    432,929.26x = 646,223.57 × 381,797.56
  4. Step 4: Simplify right side
    432,929.26x = 246,726,582,240.49
  5. Step 5: Solve for x
    x = 246,726,582,240.49/432,929.26
  6. Step 6: Final answer
    x = 569,900.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.