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Finding the Fourth Proportional to 385,551.46, 532,077.64 and 213,469.43

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Solution

The fourth proportional to 385,551.46, 532,077.64 and 213,469.43 is: 294,597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,551.46 : 532,077.64 = 213,469.43 : x
  2. Step 2: Convert to fraction form
    385,551.46/532,077.64 = 213,469.43/x
  3. Step 3: Cross multiply
    385,551.46x = 532,077.64 × 213,469.43
  4. Step 4: Simplify right side
    385,551.46x = 113,582,308,869.28
  5. Step 5: Solve for x
    x = 113,582,308,869.28/385,551.46
  6. Step 6: Final answer
    x = 294,597.02

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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.