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Finding the Fourth Proportional to 567,273.68, 782,843.04 and 312,634.16

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Solution

The fourth proportional to 567,273.68, 782,843.04 and 312,634.16 is: 431,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,273.68 : 782,843.04 = 312,634.16 : x
  2. Step 2: Convert to fraction form
    567,273.68/782,843.04 = 312,634.16/x
  3. Step 3: Cross multiply
    567,273.68x = 782,843.04 × 312,634.16
  4. Step 4: Simplify right side
    567,273.68x = 244,743,476,222.25
  5. Step 5: Solve for x
    x = 244,743,476,222.25/567,273.68
  6. Step 6: Final answer
    x = 431,438.10

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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.