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Finding the Fourth Proportional to 329,686.20, 494,529.30 and 307,567.80

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Solution

The fourth proportional to 329,686.20, 494,529.30 and 307,567.80 is: 461,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,686.20 : 494,529.30 = 307,567.80 : x
  2. Step 2: Convert to fraction form
    329,686.20/494,529.30 = 307,567.80/x
  3. Step 3: Cross multiply
    329,686.20x = 494,529.30 × 307,567.80
  4. Step 4: Simplify right side
    329,686.20x = 152,101,288,836.54
  5. Step 5: Solve for x
    x = 152,101,288,836.54/329,686.20
  6. Step 6: Final answer
    x = 461,351.70

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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.