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Finding the Fourth Proportional to 513,273.62, 708,322.22 and 283,846.47

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Solution

The fourth proportional to 513,273.62, 708,322.22 and 283,846.47 is: 391,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,273.62 : 708,322.22 = 283,846.47 : x
  2. Step 2: Convert to fraction form
    513,273.62/708,322.22 = 283,846.47/x
  3. Step 3: Cross multiply
    513,273.62x = 708,322.22 × 283,846.47
  4. Step 4: Simplify right side
    513,273.62x = 201,054,760,350.33
  5. Step 5: Solve for x
    x = 201,054,760,350.33/513,273.62
  6. Step 6: Final answer
    x = 391,710.69

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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.