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Finding the Fourth Proportional to 454,072.80, 681,109.20 and 314,104.80

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Solution

The fourth proportional to 454,072.80, 681,109.20 and 314,104.80 is: 471,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,072.80 : 681,109.20 = 314,104.80 : x
  2. Step 2: Convert to fraction form
    454,072.80/681,109.20 = 314,104.80/x
  3. Step 3: Cross multiply
    454,072.80x = 681,109.20 × 314,104.80
  4. Step 4: Simplify right side
    454,072.80x = 213,939,669,044.16
  5. Step 5: Solve for x
    x = 213,939,669,044.16/454,072.80
  6. Step 6: Final answer
    x = 471,157.20

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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.