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Finding the Fourth Proportional to 538,423.46, 743,029.36 and 296,714.70

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Solution

The fourth proportional to 538,423.46, 743,029.36 and 296,714.70 is: 409,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,423.46 : 743,029.36 = 296,714.70 : x
  2. Step 2: Convert to fraction form
    538,423.46/743,029.36 = 296,714.70/x
  3. Step 3: Cross multiply
    538,423.46x = 743,029.36 × 296,714.70
  4. Step 4: Simplify right side
    538,423.46x = 220,467,732,901.81
  5. Step 5: Solve for x
    x = 220,467,732,901.81/538,423.46
  6. Step 6: Final answer
    x = 409,469.04

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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.