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Finding the Fourth Proportional to 349,533.81, 482,204.88 and 222,141.06

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Solution

The fourth proportional to 349,533.81, 482,204.88 and 222,141.06 is: 306,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,533.81 : 482,204.88 = 222,141.06 : x
  2. Step 2: Convert to fraction form
    349,533.81/482,204.88 = 222,141.06/x
  3. Step 3: Cross multiply
    349,533.81x = 482,204.88 × 222,141.06
  4. Step 4: Simplify right side
    349,533.81x = 107,117,503,180.37
  5. Step 5: Solve for x
    x = 107,117,503,180.37/349,533.81
  6. Step 6: Final answer
    x = 306,458.20

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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.