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Finding the Fourth Proportional to 357,965.32, 493,992.54 and 196,823.08

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Solution

The fourth proportional to 357,965.32, 493,992.54 and 196,823.08 is: 271,616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,965.32 : 493,992.54 = 196,823.08 : x
  2. Step 2: Convert to fraction form
    357,965.32/493,992.54 = 196,823.08/x
  3. Step 3: Cross multiply
    357,965.32x = 493,992.54 × 196,823.08
  4. Step 4: Simplify right side
    357,965.32x = 97,229,133,219.82
  5. Step 5: Solve for x
    x = 97,229,133,219.82/357,965.32
  6. Step 6: Final answer
    x = 271,616.07

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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.