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Finding the Fourth Proportional to 541,894.91, 809,546.47 and 350,798.49

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Solution

The fourth proportional to 541,894.91, 809,546.47 and 350,798.49 is: 524,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,894.91 : 809,546.47 = 350,798.49 : x
  2. Step 2: Convert to fraction form
    541,894.91/809,546.47 = 350,798.49/x
  3. Step 3: Cross multiply
    541,894.91x = 809,546.47 × 350,798.49
  4. Step 4: Simplify right side
    541,894.91x = 283,987,679,260.83
  5. Step 5: Solve for x
    x = 283,987,679,260.83/541,894.91
  6. Step 6: Final answer
    x = 524,064.12

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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.