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Finding the Fourth Proportional to 351,177.82, 484,541.06 and 213,353.98

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Solution

The fourth proportional to 351,177.82, 484,541.06 and 213,353.98 is: 294,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,177.82 : 484,541.06 = 213,353.98 : x
  2. Step 2: Convert to fraction form
    351,177.82/484,541.06 = 213,353.98/x
  3. Step 3: Cross multiply
    351,177.82x = 484,541.06 × 213,353.98
  4. Step 4: Simplify right side
    351,177.82x = 103,378,763,624.42
  5. Step 5: Solve for x
    x = 103,378,763,624.42/351,177.82
  6. Step 6: Final answer
    x = 294,377.26

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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.