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Finding the Fourth Proportional to 453,687.30, 680,498.14 and 216,966.42

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Solution

The fourth proportional to 453,687.30, 680,498.14 and 216,966.42 is: 325,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,687.30 : 680,498.14 = 216,966.42 : x
  2. Step 2: Convert to fraction form
    453,687.30/680,498.14 = 216,966.42/x
  3. Step 3: Cross multiply
    453,687.30x = 680,498.14 × 216,966.42
  4. Step 4: Simplify right side
    453,687.30x = 147,645,245,252.46
  5. Step 5: Solve for x
    x = 147,645,245,252.46/453,687.30
  6. Step 6: Final answer
    x = 325,433.94

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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.