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Finding the Fourth Proportional to 383,602.81, 529,371.92 and 213,836.94

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Solution

The fourth proportional to 383,602.81, 529,371.92 and 213,836.94 is: 295,095.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,602.81 : 529,371.92 = 213,836.94 : x
  2. Step 2: Convert to fraction form
    383,602.81/529,371.92 = 213,836.94/x
  3. Step 3: Cross multiply
    383,602.81x = 529,371.92 × 213,836.94
  4. Step 4: Simplify right side
    383,602.81x = 113,199,271,494.73
  5. Step 5: Solve for x
    x = 113,199,271,494.73/383,602.81
  6. Step 6: Final answer
    x = 295,095.00

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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.