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Finding the Fourth Proportional to 584,163.75, 806,146.02 and 315,891.75

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Solution

The fourth proportional to 584,163.75, 806,146.02 and 315,891.75 is: 435,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,163.75 : 806,146.02 = 315,891.75 : x
  2. Step 2: Convert to fraction form
    584,163.75/806,146.02 = 315,891.75/x
  3. Step 3: Cross multiply
    584,163.75x = 806,146.02 × 315,891.75
  4. Step 4: Simplify right side
    584,163.75x = 254,654,877,013.34
  5. Step 5: Solve for x
    x = 254,654,877,013.34/584,163.75
  6. Step 6: Final answer
    x = 435,930.64

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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.