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Finding the Fourth Proportional to 536,974.82, 805,685.28 and 217,352.63

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Solution

The fourth proportional to 536,974.82, 805,685.28 and 217,352.63 is: 326,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,974.82 : 805,685.28 = 217,352.63 : x
  2. Step 2: Convert to fraction form
    536,974.82/805,685.28 = 217,352.63/x
  3. Step 3: Cross multiply
    536,974.82x = 805,685.28 × 217,352.63
  4. Step 4: Simplify right side
    536,974.82x = 175,117,811,538.97
  5. Step 5: Solve for x
    x = 175,117,811,538.97/536,974.82
  6. Step 6: Final answer
    x = 326,119.23

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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.