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Finding the Fourth Proportional to 541,137.07, 746,770.03 and 299,429.83

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Solution

The fourth proportional to 541,137.07, 746,770.03 and 299,429.83 is: 413,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,137.07 : 746,770.03 = 299,429.83 : x
  2. Step 2: Convert to fraction form
    541,137.07/746,770.03 = 299,429.83/x
  3. Step 3: Cross multiply
    541,137.07x = 746,770.03 × 299,429.83
  4. Step 4: Simplify right side
    541,137.07x = 223,605,225,001.18
  5. Step 5: Solve for x
    x = 223,605,225,001.18/541,137.07
  6. Step 6: Final answer
    x = 413,213.65

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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.