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Finding the Fourth Proportional to 314,806.35, 434,433.33 and 171,566.31

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Solution

The fourth proportional to 314,806.35, 434,433.33 and 171,566.31 is: 236,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,806.35 : 434,433.33 = 171,566.31 : x
  2. Step 2: Convert to fraction form
    314,806.35/434,433.33 = 171,566.31/x
  3. Step 3: Cross multiply
    314,806.35x = 434,433.33 × 171,566.31
  4. Step 4: Simplify right side
    314,806.35x = 74,534,123,369.11
  5. Step 5: Solve for x
    x = 74,534,123,369.11/314,806.35
  6. Step 6: Final answer
    x = 236,761.82

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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.