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Finding the Fourth Proportional to 296,671.30, 409,408.34 and 160,705.24

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Solution

The fourth proportional to 296,671.30, 409,408.34 and 160,705.24 is: 221,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,671.30 : 409,408.34 = 160,705.24 : x
  2. Step 2: Convert to fraction form
    296,671.30/409,408.34 = 160,705.24/x
  3. Step 3: Cross multiply
    296,671.30x = 409,408.34 × 160,705.24
  4. Step 4: Simplify right side
    296,671.30x = 65,794,065,537.70
  5. Step 5: Solve for x
    x = 65,794,065,537.70/296,671.30
  6. Step 6: Final answer
    x = 221,774.29

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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.