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Finding the Fourth Proportional to 598,107.30, 897,250.05 and 213,827.10

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Solution

The fourth proportional to 598,107.30, 897,250.05 and 213,827.10 is: 320,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,107.30 : 897,250.05 = 213,827.10 : x
  2. Step 2: Convert to fraction form
    598,107.30/897,250.05 = 213,827.10/x
  3. Step 3: Cross multiply
    598,107.30x = 897,250.05 × 213,827.10
  4. Step 4: Simplify right side
    598,107.30x = 191,856,376,166.36
  5. Step 5: Solve for x
    x = 191,856,376,166.36/598,107.30
  6. Step 6: Final answer
    x = 320,772.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.