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Finding the Fourth Proportional to 514,419.50, 771,704.43 and 247,960.89

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Solution

The fourth proportional to 514,419.50, 771,704.43 and 247,960.89 is: 371,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,419.50 : 771,704.43 = 247,960.89 : x
  2. Step 2: Convert to fraction form
    514,419.50/771,704.43 = 247,960.89/x
  3. Step 3: Cross multiply
    514,419.50x = 771,704.43 × 247,960.89
  4. Step 4: Simplify right side
    514,419.50x = 191,352,517,279.74
  5. Step 5: Solve for x
    x = 191,352,517,279.74/514,419.50
  6. Step 6: Final answer
    x = 371,977.57

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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.