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Finding the Fourth Proportional to 400,258.17, 552,351.74 and 218,968.02

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Solution

The fourth proportional to 400,258.17, 552,351.74 and 218,968.02 is: 302,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,258.17 : 552,351.74 = 218,968.02 : x
  2. Step 2: Convert to fraction form
    400,258.17/552,351.74 = 218,968.02/x
  3. Step 3: Cross multiply
    400,258.17x = 552,351.74 × 218,968.02
  4. Step 4: Simplify right side
    400,258.17x = 120,947,365,756.52
  5. Step 5: Solve for x
    x = 120,947,365,756.52/400,258.17
  6. Step 6: Final answer
    x = 302,173.38

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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.