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Finding the Fourth Proportional to 465,932.40, 698,293.80 and 216,082.80

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Solution

The fourth proportional to 465,932.40, 698,293.80 and 216,082.80 is: 323,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,932.40 : 698,293.80 = 216,082.80 : x
  2. Step 2: Convert to fraction form
    465,932.40/698,293.80 = 216,082.80/x
  3. Step 3: Cross multiply
    465,932.40x = 698,293.80 × 216,082.80
  4. Step 4: Simplify right side
    465,932.40x = 150,889,279,526.64
  5. Step 5: Solve for x
    x = 150,889,279,526.64/465,932.40
  6. Step 6: Final answer
    x = 323,843.72

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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.