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Finding the Fourth Proportional to 806,932.98, 1,210,559.85 and 274,311

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Solution

The fourth proportional to 806,932.98, 1,210,559.85 and 274,311 is: 411,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,932.98 : 1,210,559.85 = 274,311 : x
  2. Step 2: Convert to fraction form
    806,932.98/1,210,559.85 = 274,311/x
  3. Step 3: Cross multiply
    806,932.98x = 1,210,559.85 × 274,311
  4. Step 4: Simplify right side
    806,932.98x = 332,069,883,013.35
  5. Step 5: Solve for x
    x = 332,069,883,013.35/806,932.98
  6. Step 6: Final answer
    x = 411,521.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.