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Finding the Fourth Proportional to 511,447.17, 766,071.75 and 414,951.24

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Solution

The fourth proportional to 511,447.17, 766,071.75 and 414,951.24 is: 621,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,447.17 : 766,071.75 = 414,951.24 : x
  2. Step 2: Convert to fraction form
    511,447.17/766,071.75 = 414,951.24/x
  3. Step 3: Cross multiply
    511,447.17x = 766,071.75 × 414,951.24
  4. Step 4: Simplify right side
    511,447.17x = 317,882,422,591.47
  5. Step 5: Solve for x
    x = 317,882,422,591.47/511,447.17
  6. Step 6: Final answer
    x = 621,535.21

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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.