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Finding the Fourth Proportional to 357,976.64, 494,009.60 and 196,842.08

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Solution

The fourth proportional to 357,976.64, 494,009.60 and 196,842.08 is: 271,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,976.64 : 494,009.60 = 196,842.08 : x
  2. Step 2: Convert to fraction form
    357,976.64/494,009.60 = 196,842.08/x
  3. Step 3: Cross multiply
    357,976.64x = 494,009.60 × 196,842.08
  4. Step 4: Simplify right side
    357,976.64x = 97,241,873,749.71
  5. Step 5: Solve for x
    x = 97,241,873,749.71/357,976.64
  6. Step 6: Final answer
    x = 271,643.07

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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.