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Finding the Fourth Proportional to 293,720.69, 440,573.30 and 83,358.65

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Solution

The fourth proportional to 293,720.69, 440,573.30 and 83,358.65 is: 125,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,720.69 : 440,573.30 = 83,358.65 : x
  2. Step 2: Convert to fraction form
    293,720.69/440,573.30 = 83,358.65/x
  3. Step 3: Cross multiply
    293,720.69x = 440,573.30 × 83,358.65
  4. Step 4: Simplify right side
    293,720.69x = 36,725,595,097.25
  5. Step 5: Solve for x
    x = 36,725,595,097.25/293,720.69
  6. Step 6: Final answer
    x = 125,035.78

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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.