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Finding the Fourth Proportional to 511,053.31, 705,253.58 and 296,317.94

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Solution

The fourth proportional to 511,053.31, 705,253.58 and 296,317.94 is: 408,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,053.31 : 705,253.58 = 296,317.94 : x
  2. Step 2: Convert to fraction form
    511,053.31/705,253.58 = 296,317.94/x
  3. Step 3: Cross multiply
    511,053.31x = 705,253.58 × 296,317.94
  4. Step 4: Simplify right side
    511,053.31x = 208,979,285,217.75
  5. Step 5: Solve for x
    x = 208,979,285,217.75/511,053.31
  6. Step 6: Final answer
    x = 408,918.76

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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.