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Finding the Fourth Proportional to 516,524.07, 712,670.82 and 301,540.59

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Solution

The fourth proportional to 516,524.07, 712,670.82 and 301,540.59 is: 416,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,524.07 : 712,670.82 = 301,540.59 : x
  2. Step 2: Convert to fraction form
    516,524.07/712,670.82 = 301,540.59/x
  3. Step 3: Cross multiply
    516,524.07x = 712,670.82 × 301,540.59
  4. Step 4: Simplify right side
    516,524.07x = 214,899,179,538.58
  5. Step 5: Solve for x
    x = 214,899,179,538.58/516,524.07
  6. Step 6: Final answer
    x = 416,048.72

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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.