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Finding the Fourth Proportional to 548,454.24, 756,872.64 and 322,103.52

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Solution

The fourth proportional to 548,454.24, 756,872.64 and 322,103.52 is: 444,506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,454.24 : 756,872.64 = 322,103.52 : x
  2. Step 2: Convert to fraction form
    548,454.24/756,872.64 = 322,103.52/x
  3. Step 3: Cross multiply
    548,454.24x = 756,872.64 × 322,103.52
  4. Step 4: Simplify right side
    548,454.24x = 243,791,341,535.69
  5. Step 5: Solve for x
    x = 243,791,341,535.69/548,454.24
  6. Step 6: Final answer
    x = 444,506.26

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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.