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Finding the Fourth Proportional to 548,804.57, 822,606.33 and 282,581.06

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Solution

The fourth proportional to 548,804.57, 822,606.33 and 282,581.06 is: 423,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,804.57 : 822,606.33 = 282,581.06 : x
  2. Step 2: Convert to fraction form
    548,804.57/822,606.33 = 282,581.06/x
  3. Step 3: Cross multiply
    548,804.57x = 822,606.33 × 282,581.06
  4. Step 4: Simplify right side
    548,804.57x = 232,452,965,640.76
  5. Step 5: Solve for x
    x = 232,452,965,640.76/548,804.57
  6. Step 6: Final answer
    x = 423,562.38

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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.