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Finding the Fourth Proportional to 296,900.20, 409,714.50 and 160,928.20

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Solution

The fourth proportional to 296,900.20, 409,714.50 and 160,928.20 is: 222,076.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,900.20 : 409,714.50 = 160,928.20 : x
  2. Step 2: Convert to fraction form
    296,900.20/409,714.50 = 160,928.20/x
  3. Step 3: Cross multiply
    296,900.20x = 409,714.50 × 160,928.20
  4. Step 4: Simplify right side
    296,900.20x = 65,934,616,998.90
  5. Step 5: Solve for x
    x = 65,934,616,998.90/296,900.20
  6. Step 6: Final answer
    x = 222,076.70

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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.