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Finding the Fourth Proportional to 314,266.38, 434,194.98 and 219,197.48

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Solution

The fourth proportional to 314,266.38, 434,194.98 and 219,197.48 is: 302,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,266.38 : 434,194.98 = 219,197.48 : x
  2. Step 2: Convert to fraction form
    314,266.38/434,194.98 = 219,197.48/x
  3. Step 3: Cross multiply
    314,266.38x = 434,194.98 × 219,197.48
  4. Step 4: Simplify right side
    314,266.38x = 95,174,445,444.65
  5. Step 5: Solve for x
    x = 95,174,445,444.65/314,266.38
  6. Step 6: Final answer
    x = 302,846.41

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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.