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Finding the Fourth Proportional to 409,994.10, 565,564.41 and 240,195.42

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Solution

The fourth proportional to 409,994.10, 565,564.41 and 240,195.42 is: 331,336.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,994.10 : 565,564.41 = 240,195.42 : x
  2. Step 2: Convert to fraction form
    409,994.10/565,564.41 = 240,195.42/x
  3. Step 3: Cross multiply
    409,994.10x = 565,564.41 × 240,195.42
  4. Step 4: Simplify right side
    409,994.10x = 135,845,980,997.00
  5. Step 5: Solve for x
    x = 135,845,980,997.00/409,994.10
  6. Step 6: Final answer
    x = 331,336.43

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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.