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Finding the Fourth Proportional to 455,834.30, 682,767.30 and 377,102.30

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Solution

The fourth proportional to 455,834.30, 682,767.30 and 377,102.30 is: 564,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,834.30 : 682,767.30 = 377,102.30 : x
  2. Step 2: Convert to fraction form
    455,834.30/682,767.30 = 377,102.30/x
  3. Step 3: Cross multiply
    455,834.30x = 682,767.30 × 377,102.30
  4. Step 4: Simplify right side
    455,834.30x = 257,473,119,194.79
  5. Step 5: Solve for x
    x = 257,473,119,194.79/455,834.30
  6. Step 6: Final answer
    x = 564,839.28

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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.