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Finding the Fourth Proportional to 424,165.69, 634,863.84 and 311,816.17

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Solution

The fourth proportional to 424,165.69, 634,863.84 and 311,816.17 is: 466,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,165.69 : 634,863.84 = 311,816.17 : x
  2. Step 2: Convert to fraction form
    424,165.69/634,863.84 = 311,816.17/x
  3. Step 3: Cross multiply
    424,165.69x = 634,863.84 × 311,816.17
  4. Step 4: Simplify right side
    424,165.69x = 197,960,811,060.29
  5. Step 5: Solve for x
    x = 197,960,811,060.29/424,165.69
  6. Step 6: Final answer
    x = 466,706.33

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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.