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Finding the Fourth Proportional to 471,592.56, 707,382.36 and 205,347.44

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Solution

The fourth proportional to 471,592.56, 707,382.36 and 205,347.44 is: 308,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,592.56 : 707,382.36 = 205,347.44 : x
  2. Step 2: Convert to fraction form
    471,592.56/707,382.36 = 205,347.44/x
  3. Step 3: Cross multiply
    471,592.56x = 707,382.36 × 205,347.44
  4. Step 4: Simplify right side
    471,592.56x = 145,259,156,727.16
  5. Step 5: Solve for x
    x = 145,259,156,727.16/471,592.56
  6. Step 6: Final answer
    x = 308,018.34

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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.