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Finding the Fourth Proportional to 535,546.74, 739,041.14 and 299,797.36

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Solution

The fourth proportional to 535,546.74, 739,041.14 and 299,797.36 is: 413,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,546.74 : 739,041.14 = 299,797.36 : x
  2. Step 2: Convert to fraction form
    535,546.74/739,041.14 = 299,797.36/x
  3. Step 3: Cross multiply
    535,546.74x = 739,041.14 × 299,797.36
  4. Step 4: Simplify right side
    535,546.74x = 221,562,585,958.48
  5. Step 5: Solve for x
    x = 221,562,585,958.48/535,546.74
  6. Step 6: Final answer
    x = 413,712.88

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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.