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Finding the Fourth Proportional to 343,739.36, 474,363.96 and 190,780.40

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Solution

The fourth proportional to 343,739.36, 474,363.96 and 190,780.40 is: 263,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,739.36 : 474,363.96 = 190,780.40 : x
  2. Step 2: Convert to fraction form
    343,739.36/474,363.96 = 190,780.40/x
  3. Step 3: Cross multiply
    343,739.36x = 474,363.96 × 190,780.40
  4. Step 4: Simplify right side
    343,739.36x = 90,499,346,034.38
  5. Step 5: Solve for x
    x = 90,499,346,034.38/343,739.36
  6. Step 6: Final answer
    x = 263,278.97

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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.