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Finding the Fourth Proportional to 523,550.26, 722,498.94 and 297,195.76

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Solution

The fourth proportional to 523,550.26, 722,498.94 and 297,195.76 is: 410,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,550.26 : 722,498.94 = 297,195.76 : x
  2. Step 2: Convert to fraction form
    523,550.26/722,498.94 = 297,195.76/x
  3. Step 3: Cross multiply
    523,550.26x = 722,498.94 × 297,195.76
  4. Step 4: Simplify right side
    523,550.26x = 214,723,621,572.49
  5. Step 5: Solve for x
    x = 214,723,621,572.49/523,550.26
  6. Step 6: Final answer
    x = 410,129.91

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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.