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Finding the Fourth Proportional to 524,494.73, 786,743.04 and 224,780.96

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Solution

The fourth proportional to 524,494.73, 786,743.04 and 224,780.96 is: 337,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,494.73 : 786,743.04 = 224,780.96 : x
  2. Step 2: Convert to fraction form
    524,494.73/786,743.04 = 224,780.96/x
  3. Step 3: Cross multiply
    524,494.73x = 786,743.04 × 224,780.96
  4. Step 4: Simplify right side
    524,494.73x = 176,844,851,870.80
  5. Step 5: Solve for x
    x = 176,844,851,870.80/524,494.73
  6. Step 6: Final answer
    x = 337,171.84

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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.