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Finding the Fourth Proportional to 424,162.56, 634,859.16 and 311,813.04

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Solution

The fourth proportional to 424,162.56, 634,859.16 and 311,813.04 is: 466,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,162.56 : 634,859.16 = 311,813.04 : x
  2. Step 2: Convert to fraction form
    424,162.56/634,859.16 = 311,813.04/x
  3. Step 3: Cross multiply
    424,162.56x = 634,859.16 × 311,813.04
  4. Step 4: Simplify right side
    424,162.56x = 197,957,364,651.45
  5. Step 5: Solve for x
    x = 197,957,364,651.45/424,162.56
  6. Step 6: Final answer
    x = 466,701.65

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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.