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Finding the Fourth Proportional to 294,712.79, 441,404.53 and 206,360.73

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Solution

The fourth proportional to 294,712.79, 441,404.53 and 206,360.73 is: 309,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,712.79 : 441,404.53 = 206,360.73 : x
  2. Step 2: Convert to fraction form
    294,712.79/441,404.53 = 206,360.73/x
  3. Step 3: Cross multiply
    294,712.79x = 441,404.53 × 206,360.73
  4. Step 4: Simplify right side
    294,712.79x = 91,088,560,520.21
  5. Step 5: Solve for x
    x = 91,088,560,520.21/294,712.79
  6. Step 6: Final answer
    x = 309,075.70

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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.