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Finding the Fourth Proportional to 511,196.44, 705,254.91 and 307,296.96

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Solution

The fourth proportional to 511,196.44, 705,254.91 and 307,296.96 is: 423,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,196.44 : 705,254.91 = 307,296.96 : x
  2. Step 2: Convert to fraction form
    511,196.44/705,254.91 = 307,296.96/x
  3. Step 3: Cross multiply
    511,196.44x = 705,254.91 × 307,296.96
  4. Step 4: Simplify right side
    511,196.44x = 216,722,689,868.07
  5. Step 5: Solve for x
    x = 216,722,689,868.07/511,196.44
  6. Step 6: Final answer
    x = 423,951.88

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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.