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Finding the Fourth Proportional to 400,201.20, 561,214.80 and 400,201.20

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Solution

The fourth proportional to 400,201.20, 561,214.80 and 400,201.20 is: 561,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,201.20 : 561,214.80 = 400,201.20 : x
  2. Step 2: Convert to fraction form
    400,201.20/561,214.80 = 400,201.20/x
  3. Step 3: Cross multiply
    400,201.20x = 561,214.80 × 400,201.20
  4. Step 4: Simplify right side
    400,201.20x = 224,598,836,417.76
  5. Step 5: Solve for x
    x = 224,598,836,417.76/400,201.20
  6. Step 6: Final answer
    x = 561,214.80

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Why These Related Problems?

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