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Finding the Fourth Proportional to 200,325.40, 299,904.90 and 194,493.40

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Solution

The fourth proportional to 200,325.40, 299,904.90 and 194,493.40 is: 291,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,325.40 : 299,904.90 = 194,493.40 : x
  2. Step 2: Convert to fraction form
    200,325.40/299,904.90 = 194,493.40/x
  3. Step 3: Cross multiply
    200,325.40x = 299,904.90 × 194,493.40
  4. Step 4: Simplify right side
    200,325.40x = 58,329,523,677.66
  5. Step 5: Solve for x
    x = 58,329,523,677.66/200,325.40
  6. Step 6: Final answer
    x = 291,173.88

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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.