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Finding the Fourth Proportional to 343,927.50, 474,596.80 and 190,957.78

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Solution

The fourth proportional to 343,927.50, 474,596.80 and 190,957.78 is: 263,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,927.50 : 474,596.80 = 190,957.78 : x
  2. Step 2: Convert to fraction form
    343,927.50/474,596.80 = 190,957.78/x
  3. Step 3: Cross multiply
    343,927.50x = 474,596.80 × 190,957.78
  4. Step 4: Simplify right side
    343,927.50x = 90,627,951,323.10
  5. Step 5: Solve for x
    x = 90,627,951,323.10/343,927.50
  6. Step 6: Final answer
    x = 263,508.88

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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.