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Finding the Fourth Proportional to 524,081.54, 723,234.97 and 297,739.46

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Solution

The fourth proportional to 524,081.54, 723,234.97 and 297,739.46 is: 410,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,081.54 : 723,234.97 = 297,739.46 : x
  2. Step 2: Convert to fraction form
    524,081.54/723,234.97 = 297,739.46/x
  3. Step 3: Cross multiply
    524,081.54x = 723,234.97 × 297,739.46
  4. Step 4: Simplify right side
    524,081.54x = 215,335,585,060.39
  5. Step 5: Solve for x
    x = 215,335,585,060.39/524,081.54
  6. Step 6: Final answer
    x = 410,881.84

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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.