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Finding the Fourth Proportional to 4,671,640.70, 7,007,461.05 and 4,640,147.90

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Solution

The fourth proportional to 4,671,640.70, 7,007,461.05 and 4,640,147.90 is: 6,960,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671,640.70 : 7,007,461.05 = 4,640,147.90 : x
  2. Step 2: Convert to fraction form
    4,671,640.70/7,007,461.05 = 4,640,147.90/x
  3. Step 3: Cross multiply
    4,671,640.70x = 7,007,461.05 × 4,640,147.90
  4. Step 4: Simplify right side
    4,671,640.70x = 32,515,655,675,489.30
  5. Step 5: Solve for x
    x = 32,515,655,675,489.30/4,671,640.70
  6. Step 6: Final answer
    x = 6,960,221.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.