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Finding the Fourth Proportional to 513,239.38, 708,208.52 and 283,765.66

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Solution

The fourth proportional to 513,239.38, 708,208.52 and 283,765.66 is: 391,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,239.38 : 708,208.52 = 283,765.66 : x
  2. Step 2: Convert to fraction form
    513,239.38/708,208.52 = 283,765.66/x
  3. Step 3: Cross multiply
    513,239.38x = 708,208.52 × 283,765.66
  4. Step 4: Simplify right side
    513,239.38x = 200,965,258,095.42
  5. Step 5: Solve for x
    x = 200,965,258,095.42/513,239.38
  6. Step 6: Final answer
    x = 391,562.43

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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.