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Finding the Fourth Proportional to 314,271.37, 434,201.88 and 219,202.48

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Solution

The fourth proportional to 314,271.37, 434,201.88 and 219,202.48 is: 302,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,271.37 : 434,201.88 = 219,202.48 : x
  2. Step 2: Convert to fraction form
    314,271.37/434,201.88 = 219,202.48/x
  3. Step 3: Cross multiply
    314,271.37x = 434,201.88 × 219,202.48
  4. Step 4: Simplify right side
    314,271.37x = 95,178,128,916.66
  5. Step 5: Solve for x
    x = 95,178,128,916.66/314,271.37
  6. Step 6: Final answer
    x = 302,853.32

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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.