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Finding the Fourth Proportional to 343,740.56, 474,354.84 and 190,769.87

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Solution

The fourth proportional to 343,740.56, 474,354.84 and 190,769.87 is: 263,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,740.56 : 474,354.84 = 190,769.87 : x
  2. Step 2: Convert to fraction form
    343,740.56/474,354.84 = 190,769.87/x
  3. Step 3: Cross multiply
    343,740.56x = 474,354.84 × 190,769.87
  4. Step 4: Simplify right side
    343,740.56x = 90,492,608,788.90
  5. Step 5: Solve for x
    x = 90,492,608,788.90/343,740.56
  6. Step 6: Final answer
    x = 263,258.46

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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.