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Finding the Fourth Proportional to 314,806.84, 434,420.76 and 171,563.80

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Solution

The fourth proportional to 314,806.84, 434,420.76 and 171,563.80 is: 236,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,806.84 : 434,420.76 = 171,563.80 : x
  2. Step 2: Convert to fraction form
    314,806.84/434,420.76 = 171,563.80/x
  3. Step 3: Cross multiply
    314,806.84x = 434,420.76 × 171,563.80
  4. Step 4: Simplify right side
    314,806.84x = 74,530,876,384.49
  5. Step 5: Solve for x
    x = 74,530,876,384.49/314,806.84
  6. Step 6: Final answer
    x = 236,751.13

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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.