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Finding the Fourth Proportional to 451,702.17, 676,369.58 and 317,857.77

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Solution

The fourth proportional to 451,702.17, 676,369.58 and 317,857.77 is: 475,953.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,702.17 : 676,369.58 = 317,857.77 : x
  2. Step 2: Convert to fraction form
    451,702.17/676,369.58 = 317,857.77/x
  3. Step 3: Cross multiply
    451,702.17x = 676,369.58 × 317,857.77
  4. Step 4: Simplify right side
    451,702.17x = 214,989,324,805.35
  5. Step 5: Solve for x
    x = 214,989,324,805.35/451,702.17
  6. Step 6: Final answer
    x = 475,953.71

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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.