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Finding the Fourth Proportional to 293,659.40, 441,410.70 and 288,129.80

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Solution

The fourth proportional to 293,659.40, 441,410.70 and 288,129.80 is: 433,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,659.40 : 441,410.70 = 288,129.80 : x
  2. Step 2: Convert to fraction form
    293,659.40/441,410.70 = 288,129.80/x
  3. Step 3: Cross multiply
    293,659.40x = 441,410.70 × 288,129.80
  4. Step 4: Simplify right side
    293,659.40x = 127,183,576,708.86
  5. Step 5: Solve for x
    x = 127,183,576,708.86/293,659.40
  6. Step 6: Final answer
    x = 433,098.95

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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.