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Finding the Fourth Proportional to 423,472.73, 634,648.41 and 310,624.56

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Solution

The fourth proportional to 423,472.73, 634,648.41 and 310,624.56 is: 465,525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,472.73 : 634,648.41 = 310,624.56 : x
  2. Step 2: Convert to fraction form
    423,472.73/634,648.41 = 310,624.56/x
  3. Step 3: Cross multiply
    423,472.73x = 634,648.41 × 310,624.56
  4. Step 4: Simplify right side
    423,472.73x = 197,137,380,731.02
  5. Step 5: Solve for x
    x = 197,137,380,731.02/423,472.73
  6. Step 6: Final answer
    x = 465,525.57

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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.