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Finding the Fourth Proportional to 343,321.82, 473,833.16 and 190,394.02

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Solution

The fourth proportional to 343,321.82, 473,833.16 and 190,394.02 is: 262,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,321.82 : 473,833.16 = 190,394.02 : x
  2. Step 2: Convert to fraction form
    343,321.82/473,833.16 = 190,394.02/x
  3. Step 3: Cross multiply
    343,321.82x = 473,833.16 × 190,394.02
  4. Step 4: Simplify right side
    343,321.82x = 90,215,000,141.70
  5. Step 5: Solve for x
    x = 90,215,000,141.70/343,321.82
  6. Step 6: Final answer
    x = 262,770.95

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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.