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Finding the Fourth Proportional to 595,517.30, 893,414.12 and 196,143.74

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Solution

The fourth proportional to 595,517.30, 893,414.12 and 196,143.74 is: 294,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,517.30 : 893,414.12 = 196,143.74 : x
  2. Step 2: Convert to fraction form
    595,517.30/893,414.12 = 196,143.74/x
  3. Step 3: Cross multiply
    595,517.30x = 893,414.12 × 196,143.74
  4. Step 4: Simplify right side
    595,517.30x = 175,237,586,865.61
  5. Step 5: Solve for x
    x = 175,237,586,865.61/595,517.30
  6. Step 6: Final answer
    x = 294,261.12

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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.