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Finding the Fourth Proportional to 311,930,906.70, 467,896,360.05 and 287,744,436.30

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Solution

The fourth proportional to 311,930,906.70, 467,896,360.05 and 287,744,436.30 is: 431,616,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,930,906.70 : 467,896,360.05 = 287,744,436.30 : x
  2. Step 2: Convert to fraction form
    311,930,906.70/467,896,360.05 = 287,744,436.30/x
  3. Step 3: Cross multiply
    311,930,906.70x = 467,896,360.05 × 287,744,436.30
  4. Step 4: Simplify right side
    311,930,906.70x = 134,634,574,369,409,104
  5. Step 5: Solve for x
    x = 134,634,574,369,409,104/311,930,906.70
  6. Step 6: Final answer
    x = 431,616,654.45

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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.