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Finding the Fourth Proportional to 400,223.60, 552,308.38 and 218,935.49

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Solution

The fourth proportional to 400,223.60, 552,308.38 and 218,935.49 is: 302,130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,223.60 : 552,308.38 = 218,935.49 : x
  2. Step 2: Convert to fraction form
    400,223.60/552,308.38 = 218,935.49/x
  3. Step 3: Cross multiply
    400,223.60x = 552,308.38 × 218,935.49
  4. Step 4: Simplify right side
    400,223.60x = 120,919,903,044.86
  5. Step 5: Solve for x
    x = 120,919,903,044.86/400,223.60
  6. Step 6: Final answer
    x = 302,130.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.