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Finding the Fourth Proportional to 400,675.25, 552,929.83 and 219,383.89

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Solution

The fourth proportional to 400,675.25, 552,929.83 and 219,383.89 is: 302,748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,675.25 : 552,929.83 = 219,383.89 : x
  2. Step 2: Convert to fraction form
    400,675.25/552,929.83 = 219,383.89/x
  3. Step 3: Cross multiply
    400,675.25x = 552,929.83 × 219,383.89
  4. Step 4: Simplify right side
    400,675.25x = 121,303,897,002.44
  5. Step 5: Solve for x
    x = 121,303,897,002.44/400,675.25
  6. Step 6: Final answer
    x = 302,748.66

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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.