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Finding the Fourth Proportional to 347,854.50, 480,039.75 and 196,980.66

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Solution

The fourth proportional to 347,854.50, 480,039.75 and 196,980.66 is: 271,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,854.50 : 480,039.75 = 196,980.66 : x
  2. Step 2: Convert to fraction form
    347,854.50/480,039.75 = 196,980.66/x
  3. Step 3: Cross multiply
    347,854.50x = 480,039.75 × 196,980.66
  4. Step 4: Simplify right side
    347,854.50x = 94,558,546,781.24
  5. Step 5: Solve for x
    x = 94,558,546,781.24/347,854.50
  6. Step 6: Final answer
    x = 271,833.62

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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.