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Finding the Fourth Proportional to 400,205.70, 561,221.10 and 400,205.70

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Solution

The fourth proportional to 400,205.70, 561,221.10 and 400,205.70 is: 561,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,205.70 : 561,221.10 = 400,205.70 : x
  2. Step 2: Convert to fraction form
    400,205.70/561,221.10 = 400,205.70/x
  3. Step 3: Cross multiply
    400,205.70x = 561,221.10 × 400,205.70
  4. Step 4: Simplify right side
    400,205.70x = 224,603,883,180.27
  5. Step 5: Solve for x
    x = 224,603,883,180.27/400,205.70
  6. Step 6: Final answer
    x = 561,221.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.