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Finding the Fourth Proportional to 356,208.32, 491,060.94 and 220,165.38

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Solution

The fourth proportional to 356,208.32, 491,060.94 and 220,165.38 is: 303,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,208.32 : 491,060.94 = 220,165.38 : x
  2. Step 2: Convert to fraction form
    356,208.32/491,060.94 = 220,165.38/x
  3. Step 3: Cross multiply
    356,208.32x = 491,060.94 × 220,165.38
  4. Step 4: Simplify right side
    356,208.32x = 108,114,618,458.26
  5. Step 5: Solve for x
    x = 108,114,618,458.26/356,208.32
  6. Step 6: Final answer
    x = 303,515.14

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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.