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Finding the Fourth Proportional to 271,904.30, 407,856.45 and 201,920.30

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Solution

The fourth proportional to 271,904.30, 407,856.45 and 201,920.30 is: 302,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,904.30 : 407,856.45 = 201,920.30 : x
  2. Step 2: Convert to fraction form
    271,904.30/407,856.45 = 201,920.30/x
  3. Step 3: Cross multiply
    271,904.30x = 407,856.45 × 201,920.30
  4. Step 4: Simplify right side
    271,904.30x = 82,354,496,740.94
  5. Step 5: Solve for x
    x = 82,354,496,740.94/271,904.30
  6. Step 6: Final answer
    x = 302,880.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.