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Finding the Fourth Proportional to 511,854.72, 766,207.17 and 333,978.72

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Solution

The fourth proportional to 511,854.72, 766,207.17 and 333,978.72 is: 499,940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,854.72 : 766,207.17 = 333,978.72 : x
  2. Step 2: Convert to fraction form
    511,854.72/766,207.17 = 333,978.72/x
  3. Step 3: Cross multiply
    511,854.72x = 766,207.17 × 333,978.72
  4. Step 4: Simplify right side
    511,854.72x = 255,896,889,891.42
  5. Step 5: Solve for x
    x = 255,896,889,891.42/511,854.72
  6. Step 6: Final answer
    x = 499,940.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.