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Finding the Fourth Proportional to 296,815.96, 409,598.82 and 160,843.96

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Solution

The fourth proportional to 296,815.96, 409,598.82 and 160,843.96 is: 221,960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,815.96 : 409,598.82 = 160,843.96 : x
  2. Step 2: Convert to fraction form
    296,815.96/409,598.82 = 160,843.96/x
  3. Step 3: Cross multiply
    296,815.96x = 409,598.82 × 160,843.96
  4. Step 4: Simplify right side
    296,815.96x = 65,881,496,220.13
  5. Step 5: Solve for x
    x = 65,881,496,220.13/296,815.96
  6. Step 6: Final answer
    x = 221,960.76

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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.