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Finding the Fourth Proportional to 314,721.80, 473,004.30 and 274,171.40

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Solution

The fourth proportional to 314,721.80, 473,004.30 and 274,171.40 is: 412,059.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,721.80 : 473,004.30 = 274,171.40 : x
  2. Step 2: Convert to fraction form
    314,721.80/473,004.30 = 274,171.40/x
  3. Step 3: Cross multiply
    314,721.80x = 473,004.30 × 274,171.40
  4. Step 4: Simplify right side
    314,721.80x = 129,684,251,137.02
  5. Step 5: Solve for x
    x = 129,684,251,137.02/314,721.80
  6. Step 6: Final answer
    x = 412,059.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.