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Finding the Fourth Proportional to 613,716.21, 846,867.83 and 341,809.47

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Solution

The fourth proportional to 613,716.21, 846,867.83 and 341,809.47 is: 471,663.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,716.21 : 846,867.83 = 341,809.47 : x
  2. Step 2: Convert to fraction form
    613,716.21/846,867.83 = 341,809.47/x
  3. Step 3: Cross multiply
    613,716.21x = 846,867.83 × 341,809.47
  4. Step 4: Simplify right side
    613,716.21x = 289,467,442,423.30
  5. Step 5: Solve for x
    x = 289,467,442,423.30/613,716.21
  6. Step 6: Final answer
    x = 471,663.35

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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.