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Finding the Fourth Proportional to 643,676.90, 965,515.35 and 408,064.10

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Solution

The fourth proportional to 643,676.90, 965,515.35 and 408,064.10 is: 612,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,676.90 : 965,515.35 = 408,064.10 : x
  2. Step 2: Convert to fraction form
    643,676.90/965,515.35 = 408,064.10/x
  3. Step 3: Cross multiply
    643,676.90x = 965,515.35 × 408,064.10
  4. Step 4: Simplify right side
    643,676.90x = 393,992,152,333.94
  5. Step 5: Solve for x
    x = 393,992,152,333.94/643,676.90
  6. Step 6: Final answer
    x = 612,096.15

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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.