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Finding the Fourth Proportional to 354,314, 488,953.32 and 195,338

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Solution

The fourth proportional to 354,314, 488,953.32 and 195,338 is: 269,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,314 : 488,953.32 = 195,338 : x
  2. Step 2: Convert to fraction form
    354,314/488,953.32 = 195,338/x
  3. Step 3: Cross multiply
    354,314x = 488,953.32 × 195,338
  4. Step 4: Simplify right side
    354,314x = 95,511,163,622.16
  5. Step 5: Solve for x
    x = 95,511,163,622.16/354,314
  6. Step 6: Final answer
    x = 269,566.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.