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Finding the Fourth Proportional to 584,165, 806,147.74 and 315,893

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Solution

The fourth proportional to 584,165, 806,147.74 and 315,893 is: 435,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,165 : 806,147.74 = 315,893 : x
  2. Step 2: Convert to fraction form
    584,165/806,147.74 = 315,893/x
  3. Step 3: Cross multiply
    584,165x = 806,147.74 × 315,893
  4. Step 4: Simplify right side
    584,165x = 254,656,428,031.82
  5. Step 5: Solve for x
    x = 254,656,428,031.82/584,165
  6. Step 6: Final answer
    x = 435,932.36

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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.