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Finding the Fourth Proportional to 465,647.43, 701,582.65 and 420,720.97

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Solution

The fourth proportional to 465,647.43, 701,582.65 and 420,720.97 is: 633,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,647.43 : 701,582.65 = 420,720.97 : x
  2. Step 2: Convert to fraction form
    465,647.43/701,582.65 = 420,720.97/x
  3. Step 3: Cross multiply
    465,647.43x = 701,582.65 × 420,720.97
  4. Step 4: Simplify right side
    465,647.43x = 295,170,533,043.17
  5. Step 5: Solve for x
    x = 295,170,533,043.17/465,647.43
  6. Step 6: Final answer
    x = 633,892.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.