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Finding the Fourth Proportional to 518,849.82, 715,903.38 and 315,007.92

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Solution

The fourth proportional to 518,849.82, 715,903.38 and 315,007.92 is: 434,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,849.82 : 715,903.38 = 315,007.92 : x
  2. Step 2: Convert to fraction form
    518,849.82/715,903.38 = 315,007.92/x
  3. Step 3: Cross multiply
    518,849.82x = 715,903.38 × 315,007.92
  4. Step 4: Simplify right side
    518,849.82x = 225,515,234,654.77
  5. Step 5: Solve for x
    x = 225,515,234,654.77/518,849.82
  6. Step 6: Final answer
    x = 434,644.53

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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.