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Finding the Fourth Proportional to 402,494.78, 555,456.12 and 221,213.14

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Solution

The fourth proportional to 402,494.78, 555,456.12 and 221,213.14 is: 305,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,494.78 : 555,456.12 = 221,213.14 : x
  2. Step 2: Convert to fraction form
    402,494.78/555,456.12 = 221,213.14/x
  3. Step 3: Cross multiply
    402,494.78x = 555,456.12 × 221,213.14
  4. Step 4: Simplify right side
    402,494.78x = 122,874,190,219.23
  5. Step 5: Solve for x
    x = 122,874,190,219.23/402,494.78
  6. Step 6: Final answer
    x = 305,281.45

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