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Finding the Fourth Proportional to 329,567.50, 454,363.32 and 261,809.38

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Solution

The fourth proportional to 329,567.50, 454,363.32 and 261,809.38 is: 360,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,567.50 : 454,363.32 = 261,809.38 : x
  2. Step 2: Convert to fraction form
    329,567.50/454,363.32 = 261,809.38/x
  3. Step 3: Cross multiply
    329,567.50x = 454,363.32 × 261,809.38
  4. Step 4: Simplify right side
    329,567.50x = 118,956,579,103.94
  5. Step 5: Solve for x
    x = 118,956,579,103.94/329,567.50
  6. Step 6: Final answer
    x = 360,947.54

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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.