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Finding the Fourth Proportional to 356,101.36, 491,420 and 194,966.64

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Solution

The fourth proportional to 356,101.36, 491,420 and 194,966.64 is: 269,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,101.36 : 491,420 = 194,966.64 : x
  2. Step 2: Convert to fraction form
    356,101.36/491,420 = 194,966.64/x
  3. Step 3: Cross multiply
    356,101.36x = 491,420 × 194,966.64
  4. Step 4: Simplify right side
    356,101.36x = 95,810,506,228.80
  5. Step 5: Solve for x
    x = 95,810,506,228.80/356,101.36
  6. Step 6: Final answer
    x = 269,054.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.