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Finding the Fourth Proportional to 296,671.21, 409,305.56 and 167,590.82

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Solution

The fourth proportional to 296,671.21, 409,305.56 and 167,590.82 is: 231,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,671.21 : 409,305.56 = 167,590.82 : x
  2. Step 2: Convert to fraction form
    296,671.21/409,305.56 = 167,590.82/x
  3. Step 3: Cross multiply
    296,671.21x = 409,305.56 × 167,590.82
  4. Step 4: Simplify right side
    296,671.21x = 68,595,854,616.27
  5. Step 5: Solve for x
    x = 68,595,854,616.27/296,671.21
  6. Step 6: Final answer
    x = 231,218.44

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1.5x scale

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.