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Finding the Fourth Proportional to 357,965.83, 493,979.56 and 196,811.29

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Solution

The fourth proportional to 357,965.83, 493,979.56 and 196,811.29 is: 271,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,965.83 : 493,979.56 = 196,811.29 : x
  2. Step 2: Convert to fraction form
    357,965.83/493,979.56 = 196,811.29/x
  3. Step 3: Cross multiply
    357,965.83x = 493,979.56 × 196,811.29
  4. Step 4: Simplify right side
    357,965.83x = 97,220,754,437.23
  5. Step 5: Solve for x
    x = 97,220,754,437.23/357,965.83
  6. Step 6: Final answer
    x = 271,592.28

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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.