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Finding the Fourth Proportional to 454,051.80, 681,077.70 and 404,188.20

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Solution

The fourth proportional to 454,051.80, 681,077.70 and 404,188.20 is: 606,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,051.80 : 681,077.70 = 404,188.20 : x
  2. Step 2: Convert to fraction form
    454,051.80/681,077.70 = 404,188.20/x
  3. Step 3: Cross multiply
    454,051.80x = 681,077.70 × 404,188.20
  4. Step 4: Simplify right side
    454,051.80x = 275,283,569,623.14
  5. Step 5: Solve for x
    x = 275,283,569,623.14/454,051.80
  6. Step 6: Final answer
    x = 606,282.30

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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.