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Finding the Fourth Proportional to 517,704.20, 776,609.30 and 198,124.86

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Solution

The fourth proportional to 517,704.20, 776,609.30 and 198,124.86 is: 297,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,704.20 : 776,609.30 = 198,124.86 : x
  2. Step 2: Convert to fraction form
    517,704.20/776,609.30 = 198,124.86/x
  3. Step 3: Cross multiply
    517,704.20x = 776,609.30 × 198,124.86
  4. Step 4: Simplify right side
    517,704.20x = 153,865,607,846.57
  5. Step 5: Solve for x
    x = 153,865,607,846.57/517,704.20
  6. Step 6: Final answer
    x = 297,207.57

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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.