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Finding the Fourth Proportional to 513,238.38, 708,207.14 and 283,764.66

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Solution

The fourth proportional to 513,238.38, 708,207.14 and 283,764.66 is: 391,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,238.38 : 708,207.14 = 283,764.66 : x
  2. Step 2: Convert to fraction form
    513,238.38/708,207.14 = 283,764.66/x
  3. Step 3: Cross multiply
    513,238.38x = 708,207.14 × 283,764.66
  4. Step 4: Simplify right side
    513,238.38x = 200,964,158,291.67
  5. Step 5: Solve for x
    x = 200,964,158,291.67/513,238.38
  6. Step 6: Final answer
    x = 391,561.05

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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.