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Finding the Fourth Proportional to 271,653.84, 374,779.44 and 200,204.28

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Solution

The fourth proportional to 271,653.84, 374,779.44 and 200,204.28 is: 276,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,653.84 : 374,779.44 = 200,204.28 : x
  2. Step 2: Convert to fraction form
    271,653.84/374,779.44 = 200,204.28/x
  3. Step 3: Cross multiply
    271,653.84x = 374,779.44 × 200,204.28
  4. Step 4: Simplify right side
    271,653.84x = 75,032,447,944.00
  5. Step 5: Solve for x
    x = 75,032,447,944.00/271,653.84
  6. Step 6: Final answer
    x = 276,206.10

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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.