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Finding the Fourth Proportional to 392,303.90, 541,363.02 and 222,570.02

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Solution

The fourth proportional to 392,303.90, 541,363.02 and 222,570.02 is: 307,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,303.90 : 541,363.02 = 222,570.02 : x
  2. Step 2: Convert to fraction form
    392,303.90/541,363.02 = 222,570.02/x
  3. Step 3: Cross multiply
    392,303.90x = 541,363.02 × 222,570.02
  4. Step 4: Simplify right side
    392,303.90x = 120,491,178,188.66
  5. Step 5: Solve for x
    x = 120,491,178,188.66/392,303.90
  6. Step 6: Final answer
    x = 307,137.34

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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.