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Finding the Fourth Proportional to 453,760.84, 680,743.68 and 150,154.22

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Solution

The fourth proportional to 453,760.84, 680,743.68 and 150,154.22 is: 225,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,760.84 : 680,743.68 = 150,154.22 : x
  2. Step 2: Convert to fraction form
    453,760.84/680,743.68 = 150,154.22/x
  3. Step 3: Cross multiply
    453,760.84x = 680,743.68 × 150,154.22
  4. Step 4: Simplify right side
    453,760.84x = 102,216,536,290.33
  5. Step 5: Solve for x
    x = 102,216,536,290.33/453,760.84
  6. Step 6: Final answer
    x = 225,265.22

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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.