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Finding the Fourth Proportional to 454,604.80, 681,907.20 and 277,457.80

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Solution

The fourth proportional to 454,604.80, 681,907.20 and 277,457.80 is: 416,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,604.80 : 681,907.20 = 277,457.80 : x
  2. Step 2: Convert to fraction form
    454,604.80/681,907.20 = 277,457.80/x
  3. Step 3: Cross multiply
    454,604.80x = 681,907.20 × 277,457.80
  4. Step 4: Simplify right side
    454,604.80x = 189,200,471,516.16
  5. Step 5: Solve for x
    x = 189,200,471,516.16/454,604.80
  6. Step 6: Final answer
    x = 416,186.70

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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.