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Finding the Fourth Proportional to 496,536.22, 685,115.94 and 315,034.66

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Solution

The fourth proportional to 496,536.22, 685,115.94 and 315,034.66 is: 434,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,536.22 : 685,115.94 = 315,034.66 : x
  2. Step 2: Convert to fraction form
    496,536.22/685,115.94 = 315,034.66/x
  3. Step 3: Cross multiply
    496,536.22x = 685,115.94 × 315,034.66
  4. Step 4: Simplify right side
    496,536.22x = 215,835,267,218.48
  5. Step 5: Solve for x
    x = 215,835,267,218.48/496,536.22
  6. Step 6: Final answer
    x = 434,681.82

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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.