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Finding the Fourth Proportional to 548,822.52, 822,633.24 and 282,599.01

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Solution

The fourth proportional to 548,822.52, 822,633.24 and 282,599.01 is: 423,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,822.52 : 822,633.24 = 282,599.01 : x
  2. Step 2: Convert to fraction form
    548,822.52/822,633.24 = 282,599.01/x
  3. Step 3: Cross multiply
    548,822.52x = 822,633.24 × 282,599.01
  4. Step 4: Simplify right side
    548,822.52x = 232,475,339,217.09
  5. Step 5: Solve for x
    x = 232,475,339,217.09/548,822.52
  6. Step 6: Final answer
    x = 423,589.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.