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Finding the Fourth Proportional to 699,720.11, 965,911.68 and 470,410.39

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Solution

The fourth proportional to 699,720.11, 965,911.68 and 470,410.39 is: 649,366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,720.11 : 965,911.68 = 470,410.39 : x
  2. Step 2: Convert to fraction form
    699,720.11/965,911.68 = 470,410.39/x
  3. Step 3: Cross multiply
    699,720.11x = 965,911.68 × 470,410.39
  4. Step 4: Simplify right side
    699,720.11x = 454,374,891,301.75
  5. Step 5: Solve for x
    x = 454,374,891,301.75/699,720.11
  6. Step 6: Final answer
    x = 649,366.63

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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.