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Finding the Fourth Proportional to 463,774.68, 640,060.65 and 259,858.80

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Solution

The fourth proportional to 463,774.68, 640,060.65 and 259,858.80 is: 358,634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,774.68 : 640,060.65 = 259,858.80 : x
  2. Step 2: Convert to fraction form
    463,774.68/640,060.65 = 259,858.80/x
  3. Step 3: Cross multiply
    463,774.68x = 640,060.65 × 259,858.80
  4. Step 4: Simplify right side
    463,774.68x = 166,325,392,436.22
  5. Step 5: Solve for x
    x = 166,325,392,436.22/463,774.68
  6. Step 6: Final answer
    x = 358,634.05

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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.