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Finding the Fourth Proportional to 343,807.73, 474,124.15 and 205,964.76

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Solution

The fourth proportional to 343,807.73, 474,124.15 and 205,964.76 is: 284,033.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,807.73 : 474,124.15 = 205,964.76 : x
  2. Step 2: Convert to fraction form
    343,807.73/474,124.15 = 205,964.76/x
  3. Step 3: Cross multiply
    343,807.73x = 474,124.15 × 205,964.76
  4. Step 4: Simplify right side
    343,807.73x = 97,652,866,764.95
  5. Step 5: Solve for x
    x = 97,652,866,764.95/343,807.73
  6. Step 6: Final answer
    x = 284,033.37

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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.