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Finding the Fourth Proportional to 400,678.97, 552,937.11 and 219,402.38

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Solution

The fourth proportional to 400,678.97, 552,937.11 and 219,402.38 is: 302,775.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,678.97 : 552,937.11 = 219,402.38 : x
  2. Step 2: Convert to fraction form
    400,678.97/552,937.11 = 219,402.38/x
  3. Step 3: Cross multiply
    400,678.97x = 552,937.11 × 219,402.38
  4. Step 4: Simplify right side
    400,678.97x = 121,315,720,572.76
  5. Step 5: Solve for x
    x = 121,315,720,572.76/400,678.97
  6. Step 6: Final answer
    x = 302,775.36

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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.